"I think managers need time and the manager here is working very hard. It's not going to happen overnight or one season," Coleman said after Sunday's 0-0 draw with Liverpool.
"He needs to get his own players in, implement his own style of play. That goes for all around the league, I think owners need to be a bit more patient.
"I think there's a lot of emphasis on teams doing badly. It's something that I don't agree with."
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Coleman said players should also be in the firing line for poor results.
"It's one of the things I don't like about modern-day football. It always seems to go on the manager's toes and us players seem to get away with murder a little bit," Coleman added.
Everton, who have 37 points from 29 games, play 14th-placed Newcastle United away on Saturday.
(Reporting by Rohith Nair in Bengaluru, editing by Ed Osmond)
