City are currently on the lookout for a new manager following the sacking of Shakespeare earlier this week andAppleton wants to see a British tactician replace his former boss.
"I'll be an absolute hypocrite if I said any differently. The biggest reason I came here was Craig because I knew him and worked with him before," said Appleton.
"I walked away from a stable environment at Oxford, where we were progressing. But I felt like an opportunity like this might not come around again. So I took it with both hands.
"One of the things I say is that there is a lack of opportunities for British coaches at top end of the game. If it does go to a British coach then I wish him all the best and we see where we go from there."