Ronny Deila is in charge of Celtic at the moment, but the Norwegian will leave the Scottish Premiership giants at the end of the season.
According to The Scottish Sun, Roy Keane, Neil Lennon, David Moyes and Brendan Rodgers have all been linked.
McGregor, who is just 22 years of age and is rated very highly, has revealed his state of mind at the prospect of working with someone other than Deila.
The former Scotland Under-21, though, has made it clear that he is very thankful to Deila for helping him in his career.
“Of course I’ve been excited by the names linked,” McGregor told The Scottish Sun. “There have been a few big names mentioned and I’m sure the board will make whatever decision they feel is right. When he comes in I will give 100 per cent to him and his staff.”
“What’s the main thing I’ve taken from him?” added the Scottish youngster on Deila. “Mostly confidence. Even when the performances weren’t going so well he would lift me. And when I was doing well he’d keep me grounded.”
Celtic are at the top of the Scottish Premiership table at the moment with 80 points from 35 matches.
The Glasgow giants are nine points clear of Aberdeen, who are currently second in the standings.