The result arrested a run of three games without a win for the Gunners.
The Gunners are six points behind leaders Chelsea after Andrey Arshavin's winner capped a second-half comeback.
Eduardo is expected to be in the Gunners' squad for Saturday's Premier League clash against Birmingham.
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The Gunners captain quickly passed to Hleb, who drilled a low shot past Helton.
Ferguson also paid tribute to Park, who scored for the fourth time against the Gunners.
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Bendtner's strike made it five successive matches in which the Gunners have scored in second-half injury-time.
On 23 minutes the Gunners went ahead with a fine build-up and neat finish by Hleb.
The Gunners originally said the Switzerland international defender would miss the rest of the campaign.
Laurent Koscielny scored in the 86th to tie the aggregate, but the Gunners never threatened again.
Gallas spent four years at the Gunners after spending five years at Stamford Bridge before that.
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The win gave the Gunners revenge for last season's Premier League Cup final defeat by Everton.
But despite fielding a full strength team at Bradford, the Gunners went out on penalties.
Since arriving from the Gunners in January, the 19-year-old has made nine appearances for the club.
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However, the Gunners eventually settled into something resembling their usual rhythm and it paid dividends.
Arsenal midfielder Jose Antonio Reyes, who has not played for the Gunners recently, also retains his place.
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The Gunners, who entered the weekend third, are now in fourth with 64 points after 35 games.
Kalou was unhappy with Eboue's tackle but praised the Gunners player for at least offering an apology.
Wenger felt the pass was "accidental" and that Hansson allowed the Gunners no time to defend the free-kick.
The Gunners almost took the lead moments later but Given was equal to Kolo Toure's close-range angled shot.
However, Wenger is adamant the Gunners would have nothing to fear if they come up against either rival.
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The Gunners collected 32 major trophies during Akers' 22-year tenure but 54-year-old Scotsman Gervaise is relishing the challenge.
In a low-key game, the Gunners enjoyed the majority of the possession but Everton created several goal chances.
He scored 37 goals in 48 games for the Gunners last season, including 30 in the Premier League.
Manchester United face Middlesbrough on Sunday and a victory would give them an eight-point lead over the Gunners.
If the Gunners keep winning, and Spurs do anything but win at Stamford Bridge, Arsenal is secure in fourth.
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This would have translated into a 55% better shot of the Gunners finishing in the Top Four versus Spurs.
The laughs may have been in short supply, but with Graham's arrival, the good times returned for the Gunners.
Bendtner missed a host of chances in the Gunners' 3-1 league victory over Burnley at the Emirates last Saturday.
The Gunners' result rendered Tottenham's home victory over a dogged Sunderland side academic.
The Gunners have also qualified for the knockout stages of the Champions League, with two group games to spare.
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