Emanuel, a former Northwest Side congressman, told Charlie Rose on public television last Monday that he misses contact with constituents.
Emanuel said he supports the mayor and hopes he runs again, because Daley has done a fabulous job.
Daley praised Emanuel.
"He's a wonderful chief of staff. He's doing a great job for president obama. There's nothing wrong with having future plans in any profession," said Daley. "Everybody would like to be the mayor. This is a great city."
Daley talked to Emanuel, but did not offer advice.
The mayor has not said whether he will run for a seventh term next year.