Potential targets include Real Sociedad's Xavi Alonso, Valencia defender Fabian Ayala and Francesco Totti of Roma.
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Coleman, 38, has also managed Fulham and Real Sociedad before taking charge at the Ricoh Arena.
Barca went 31 games undefeated, one short of Real Sociedad's record, with 16 successive victories from round seven.
Managerless Bolton have already been refused permission to speak to Real Sociedad coach Chris Coleman and Birmingham manager Steve Bruce.
They are six points clear of Athletic Bilbao , who moved to fourth after beating local rivals Real Sociedad 2-0.
Real Sociedad drew 1-1 at home to Real Betis, a result which left both teams comfortably clear of the relegation zone.
Semler found Stevanovic 12 yards from goal with his clever pass and the Real Sociedad player's effort was saved by Marshall.
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Atletico remain in third, 13 points ahead of fourth-place Real Sociedad who can close the gap if they beat Valencia on Sunday.
Real's win moved them into second place after city rivals Atletico Madrid suffered a shock 1-0 home defeat by Real Sociedad .
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He will now miss Real's final game at home to Real Sociedad.
Fourth-placed Real Sociedad also drew, 2-2 at Espanyol -- whose defender Javi Lopez conceded an own-goal for the equalizer with 14 minutes left.
Deportivo La Coruna drew 1-1 at mid-table Real Sociedad to mean Osasuna's move from the bottom of the table was a brief one.
Martinez has also been linked with Real Sociedad, back in Martinez's native Spain, but Jenkins says his manager would be loyal to Swansea in any case.
Relegation-threatened Sporting Gijon went down 2-0 at Getafe while Espanyol came back from two goals down to earn a 2-2 draw against Real Sociedad.
Just three lasted more than 12 months: Louis Van Gaal at Bayern Munich, Reynald Denoueix at Real Sociedad and Bert Van Marwijk at Borussia Dortmund.
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Real Sociedad snatched a place in the Champions League qualifying rounds, winning 1-0 at Deportivo la Coruna to ensure Valencia missed out after a 4-3 defeat at Sevilla.
Real are certain to finish second in the Spanish First Division and sit 13 points behind champions Barcelona with just fixtures against Real Sociedad and Osasuna remaining.
Granada suffered a 2-1 home defeat by Mallorca, Espanyol drew 0-0 with Valladolid and Real Sociedad shared a six-goal thriller with Real Betis as it ended 3-3.
Kean ended his playing career with Academica Coimbra in Portugal before working as assistant manager to long-time friend Chris Coleman at Fulham, Real Sociedad and Coventry City.
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Real Sociedad moved up to eighth with a 2-1 win at Zaragoza, while Barcelona's city rivals Espanyol eased relegation worries with a 4-0 win at Athletic Bilbao.
Valencia climbed into the fourth Champions League place with a 4-0 win at midtable Rayo Vallecano, moving a point above Real Sociedad -- who host Granada on Monday.
It wrapped up three points for the league leaders and stretches their lead to 14 points ahead of second-place Atletico Madrid's match against Real Sociedad on Sunday evening.
Real Sociedad claimed fourth place with a 4-1 win at home to Valladolid, while Valencia moved up to seventh with a 3-0 victory over fellow European hopefuls Real Betis.
The former Fulham boss signed a three-and-a-half year deal with the club after leaving Real Sociedad in January and says he now must undertake a big shake-up at the Ricoh Stadium.
However, director general Jorge Valdano has said the club also want to sign more homegrown players, including Alonso, who played for Real Sociedad before moving to Liverpool in the summer of 2004.
Meanwhile, Radamel Falcao scored twice as third place Atletico Madrid cruised to a 5-0 win over Granada, while Real Sociedad's Imanol Agirretxe kept his side's push for Champions League football on track.
By taking the field Saturday, the Blues will have played exactly 11 games more than their closest competitor, Real Madrid, whose penultimate game Sunday against Real Sociedad will be its 60th of the season.
Other names that have come to the fore including former Reading boss Steve Coppell who quit last month, Jordi Cruyff, the current assistant manager at Maltese side Valetta and outgoing Real Sociedad coach Juan Lillo.
Former Wigan boss Paul Jewell is the bookmakers' early favourite, with Chris Coleman, who is at Real Sociedad, as well as ex-Bolton assistant and Hull City manager Phil Brown also believed to be in the frame.
Earlier today the former President of Real Sociedad revealed there has been doping at his club before he took over, the first time anybody has tried to get ahead of this story rather than being run over by it.
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