The Rangers boss recently questioned the mentality of his players after his side crashed to a defeat against Kilmarnock.
Sutton believes that it is a dangerous approach and it could turn the dressing room against Gerrard.
He wrote in Daily Record: “It seems to be Gerrard’s way when it goes well, yet down to the players when it goes wrong. His comments after Rugby Park perplexed me. He said it was his responsibility. Then proceeded to cane his players for being weak mentally. It was like, ‘Yeah, blame me. But actually, it was really them’.