Scottish tactician David Moyes has come under plenty of criticism this season for guiding the reigning champions into seventh position on the Premier League table with some fans even calling for his head after just 10 months in charge.
New York Red Bulls midfielder Cahill, who spent eight years under Moyes at Goodison Park, knows the Red Devils boss extremely well and is of the belief that he is the man to take the Old Trafford outfit forward.
"I think he will come through it, most definitely," the Australia international told talkSPORT'S Drivetime.
"Your first season at a new club is always hard but he's a great manager.
"There are a lot of teething problems with him at United, but hopefully he can come out the other side.
"He's a top, world class manager and I think he just needs to be given some time to produce. He needs to make some new signings, bring in some new players and he just has to get used to it there.
"It's not for me to say [where United will finish in the league], but I'm a strong backer of him and he's someone of whom I'm a massive fan."
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