The man they call Merlin banged in two goals to set rampant City on their way.
"We are happy with the points, we know there are still hard games to come".
"Hopefully he can solve [the situation] as soon as possible, his lovely kid can grow and grow back at home and he can stay with us all days".
Stoke have kept a clean sheet in three of their last seven Premier League games against Man City.
"Obviously we won't have much of the ball, but when we do have it we have to be ruthless with it and try and hurt them - and take them out of their zone of being comfortable", he added.
"That [support from the board] was so important last season and I will never forget that. When and where, it doesn't matter".
Stoke have been better since Paul Lambert took over as manager.
Kompany knows work has to be done in their next Premier League game against Everton if they are to get that chance, but he told Sky Sports Premier League: "Everybody in the blue side of Manchester knows it's a once in a lifetime opportunity. But [we have to be] steady", Kompany said. Of course, I think we could do that when you are always hand in hand with the club.
Manchester City's manager Pep Guardiola has asserted his cautiousness going into the Monday night clash, where he argues that they can not leave anything to chance.
Speaking to Sky Sports in his post-match interview at the Bet365 Stadium, Guardiola waxed lyrical of his midfield maestro, stating the Spanish global had confounded his doubters that he was more than just a technical footballer.
England's Football Association on Friday fined Manchester City manager Pep Guardiola £20,000 for wearing a yellow ribbon in support of jailed Catalan independence leaders.
Guardiola rested a host of first-team regulars for the visit of Basel, including Kevin De Bruyne and David Silva. "Normally the people say how his skills, his technical ability and after that he can not be aggressive a competitor.and he has balls".
"The goals, I am happy for David today, he has scored a lot of goals this season and the minutes he played", he said at the full-time whistle.
City were perhaps not at their scintillating best last night, doing what they needed to but not making full use of possession approaching 80 per cent.