Connor has been at the club as part of the backroom staff for 13 years before Mick McCarthy's sacking saw him step into the managerial role 10 games ago.
Former Leeds and Brighton striker Connor said: "I'll be reviewing my part of what's happened and the whole season. Let the club find what path they want to take. Whatever happens has to be for the good of the club. Decisions will be made that aren't for personal gain, but for the good of the club."
He added: "The club will try to move forward; some people will stay, some will go. That's down to how the club wants to go in the future.
"But whatever input I have will be for the benefit of Wolves - not me."
Press Association Sport understands chief executive Jez Moxey would welcome Connor applying for the job despite picking up only two points out of a possible 30 so far.
Connor said: "At one time, I didn't really see myself as first-team coach, assistant coach and then manager but now I can do them all. Whatever I have to do, if someone says 'can you do that?' then I'll be able to say 'yes I can, I've done that'."
Meanwhile, Connor believes midfielder David Davis will earn a new contract after his performances since returning from a loan spell with Chesterfield.
Davis, 21, has only 14 months left of his current deal but, when asked if he would be offered a new contract, Connor said: "I would imagine so. He's done well in his own right in the Premier League and he's earned a contract.
"It's down to the fact that he's played really well, like against people like Yaya Toure and Gareth Barry at the weekend."
Source: PA
Source: PA