"It's completely mad to have won the championship and got the record, " said Dzeko.
City rested several players ahead of the cup final and their winner came from Bosnian striker Edin Dzeko.
Hodgson said his striker had outshone Wolfsburg's highly-rated Edin Dzeko and pushed his case for an England call-up.
Meanwhile, Ferguson has distanced himself from reports linking Manchester United with a January bid for Wolfsburg striker Edin Dzeko.
He was caught awkwardly by a challenge from Nathaniel Clyne and twisted his knee to be replaced by Edin Dzeko.
CNN: Manchester City make winning start to EPL title defense
Elsewhere, much-fancied Belgium were held to a 1-1 draw with Bosnia in Group B, Manchester City striker Edin Dzeko's opener canceled out by Radja Nainggolan.
The match turned early when Arsenal defender Laurent Koscielny was sent off for manhandling City striker Edin Dzeko in the penalty area.
The most notable was a headed chance from Dzeko, which took the striker by surprise after Hangeland had completely missed his clearing header.
Grafite's second of the game 11 minutes into the second half and a fifth from highly-rated Edin Dzeko after 74 capped a memorable occasion for Wolfsburg.
Two minutes into added time Dzeko scores with a header from a corner kick but at 2-2 the title is still heading back to Old Trafford.
FORBES: May 2012 - Miracle At Etihad; Juventus Unbeaten; Chelsea European Champions; Pep Exits
The move brings an end to his four-year stint in English football and links him up with manager Steve McClaren who needed to replace striker Edin Dzeko.
Highly-rated Wolfsburg strike-duo Edin Dzeko and Grafite have hit the net 41 times between them this season but in two games Fulham have held them at bay.
But Edin Dzeko, Wolfsburg's second-highest scorer last season, opened his account for this campaign in the 73rd minute and Pierre Wome put through his own net 60 seconds later.
Dzeko fired narrowly wide for City as they attempted to put daylight between themselves and an increasingly confident Everton, who made a change by replacing Rodwell with Tim Cahill.
Marouanne Fellaini put David Moyes' team ahead in the 33 minute before Carlos Tevez equalized from the penalty spot 10 minutes later after Edin Dzeko had been brought down.
Roberto Mancini's men burst out of the blocks and no sooner had Ben Foster smothered Edin Dzeko's low cross, the Birmingham keeper was picking the ball out of the net.
Dzeko was hauled down clumsily by Gardner and Kolarov prowled on the edge of the box before curling the ball deliciously to the right of a bemused and wrong-footed Foster.
Bosnia-Herzegovina moved three points clear of Greece at the top of Group G after winning 3-1 against the previously undefeated 2004 European champions, with two goals from striker Edin Dzeko.
Bosnia's Dzeko and Brazil's Grafite have scored 54 goals between them this season to break the previous record set by Bayern Munich's Gerd Muller and Uli Hoeness in the 1970s.
However, playing their counter-attack game, Owen nodded in a fine opener from Nani's cross on half-time before tucking in two late goals after Edin Dzeko had equalised for the hosts.
New Wolfsburg coach Veh made just one change from the side preferred by his predecessor Felix Magath last season with Karim Ziani starting in the midfield behind Edin Dzeko and Grafite.
Dzeko was also involved in Liverpool's equalizer, as new signing Daniel Sturridge scored his fourth goal in six games despite an apparent foul by teammate Daniel Agger on the City striker.
As both games drift towards full time Manchester United looks to hold on to a precious 3 points while City throw everything including Edin Dzeko and the kitchen sink at QPR.
FORBES: May 2012 - Miracle At Etihad; Juventus Unbeaten; Chelsea European Champions; Pep Exits
Nasri made it 4-2 in the 74th, Juan Mata curled in a free kick for Chelsea 8 minutes later, and Edin Dzeko bounced a 30-yard shot past Petr Cech in the 84th.
Their strength is built on the formidable attacking duo of Edin Dzeko and Grafite, who overcame injury and illness respectively to start this match, which may partly explain why they were largely anonymous throughout.
Mancini lost his cool on several occasions in the closing stages, undoubtedly angry at his team's failure to cash in on their previous superiority which brought missed chances from Patrick Vieira and Edin Dzeko.
The Argentina striker has never scored against Arsenal, but he was also involved in the second goal as Dzeko doubled the lead just after half an hour for his 10th in the league this season.
However, Stefan Kiessling made it 3-0 after 58 minutes before Zvjezdan Misimovic reduced the deficit with a free-kick on 76 and Grafite's penalty four minutes later, after Hans Sarpei felled Edin Dzeko, set up a tense finish.
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