Connor was named as the new boss at Molineux on Friday with 13 games left to preserve the club's Barclays Premier League status. A host of managers were linked with the role, including Steve Bruce, Alan Curbishley, Walter Smith and Brian McDermott, but the club have opted to promote from within.
Morgan said: "This is a very important appointment and this is not one you can make on a knee-jerk response. We have seen a number of people, nowhere near the amount of people that has been in the media. We went through the process and narrowed it down and it became clear from the way the players were responding to Terry that he was the right man."
He added: "Mick has done a fantastic job at this club. Each season that I've been here working with Mick, Mick has taken this club forward.
"This season it was different. The decision we had to take after the West Brom game (a 5-1 defeat after which McCarthy was sacked) was: was it right to continue the way we were going or was it right to make a change?
"Of course I'm convinced it was the right thing to do."
Morgan reiterated his confidence in the club's recruitment process.
He did not entertain criticism of how Wanderers have gone about finding McCarthy's successor, but gave a heavy hint that he was not as happy with the conduct of those outside the club.
"We've interviewed a number of candidates who were available and that's a normal process," he added. "We have never once broken the confidence of the people we've spoken to. Other people have unfortunately broken confidences.
"I can't control what other people do, I can only behave professionally and handle things from our side. I have nothing to be embarrassed about, this club has nothing to be embarrassed about. One or two other people may have and may have leaked things."
Source: PA
Source: PA