Mowbray is hopeful of making Nancy striker Marc Antoine Fortune his first signing and others to his squad.
The Perth Glory midfielder was previously linked with Celtic while Tony Mowbray was in charge.
Stark was assistant to Tommy Burns when Mowbray was a feature of Celtic's defence.
Bookmakers have West Brom manager Tony Mowbray down as favourite for the post at Celtic Park.
"His loan spell was all about settling in to a new club and culture, " added Mowbray.
Regarding the game against likely league runners-up Liverpool, Mowbray was left to rue his side's defending.
"We don't have to sell players because we don't have any debt at club, " revealed Mowbray.
"Stephen McManus, from my understanding, has no interest in going to Ipswich Town, " said Mowbray.
Hartley was told by new Bhoys manager Tony Mowbray he was free to move on.
Manager Tony Mowbray admitted to The Times newspaper the traveling does take its toll.
And Mowbray expressed frustration after his side suffered their first league defeat of the season.
Spalding United went down 4-3 to Market Drayton Town, despite a hat-trick from Simon Mowbray.
Hibernian surprised many when they gave a rookie Mowbray his first managerial job in 2004.
"He hasn't played for a long time and there is also the financial side, " said Mowbray.
He then took control of the reserve side in 2009, when Tony Mowbray was appointed manager.
Cech, 26, started only three Premier League games last season after being signed by Tony Mowbray in summer 2008.
And Mowbray insists that his budget for any new striker has not been altered.
"We would like to get one or two in before that, " Mowbray admitted.
Tony Mowbray, Owen Coyle and Mark McGhee are among those still being considered to succeed Gordon Strachan.
And so the pressure on Tony Mowbray escalates from a murmuring of discontent to a thundering impatience.
"He is a boy who wouldn't be coming to go straight into our first-team squad, " said Mowbray.
"Obviously, I am so disappointed, particularly for the fans who have been magnificent all season, " said Mowbray.
Celebrations among the home fans were cut short, however, when Mowbray's team capitulated once again moments later.
Celtic manager Tony Mowbray admitted that the penalty was not a key factor in the overall result.
But MacLeod believes it's important that Tony Mowbray's men do not get sucked in by the surrounding hysteria.
Across the city, Celtic have changed their management team with Tony Mowbray replacing Gordon Strachan at the helm.
"Thursday will be the acid test for Gianni and James, " Baggies manager Tony Mowbray told the club's website.
"He's got undoubted talent and I'm looking forward to working with him next season, " said boss Tony Mowbray.
Tony Mowbray has brought a freshness to Celtic, so they'll be in there all the way with Rangers.
Mowbray is no stranger to Scottish football after leading Hibernian to two top-four finishes in 2005 and 2006.
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