Hibernian defender David Murphy has called for caretaker Mark Proctor to be given the manager's job permanently as Paul Sturrock also became a contender.
Mark Proctor will take charge against Dunfermline on Monday
Sturrock has been sacked by Sheffield Wednesday and his assistant, John Blackley, suggested that the Hibs job would now be of interest.
But Murphy said: "Mark is very similar to Tony Mowbray.
"He has the same philosophies and his training techniques are pretty similar too. He has the same sort of ideas."
Mowbray was confirmed as manager of West Bromwich Albion this week, bringing to an end more than two years at Easter Road.
Former Darlington assistant Proctor, who was first-team coach under Mowbray, has taken temporary charge along with youth academy director John Park.
"The players have a lot of respect for Mark Proctor," said left-back Murphy. "As soon as he came in, you could see that.
I would like to think people are looking because of the job I am doing at Falkirk
Falkirk head coach John Hughes
"The players want to train for him, we enjoy his training sessions and I think the players want him to be seriously considered for the post.
"As players, we have talked about that. This week could have been a difficult one, but it has not been because Mark has been here.
"His man-management skills are the same as Tony Mowbray's.
"He speaks to everyone individually and knows how to get the best out of you."
Former Hibs and Scotland midfielder John Collins has emerged as favourite for the Easter Road job.
It would be his first job in management, but Sturrock will hope that previous experience in Scotland with Dundee United and St Johnstone will give him an advantage.
Blackley, who is caretaker with Wednesday, told the Daily Record: "Paul was keen on the Hibs job the previous occasion and he was interviewed for it.
"Hibs is a big club and I'm quite sure he would relish the challenge.
"He would have no problems returning to Scotland."
Meanwhile, Falkirk head coach John Hughes is adopting a relaxed attitude to ongoing speculation linking him with his former club.
"I would have to say the same thing if it was Hearts banging on the door and having a look and wanting me as manager," he said. "You never say never in football.
"I would like to think people are looking because of the job I am doing at Falkirk, not because I am an ex-Hibs player or anything like that.
"But I am 100% committed to Falkirk Football Club and I have a real desire to take them forward, to catch teams above us and have been for a number of years in the Premier League."