The champions, who began their campaign with a 4-1 win at Swansea, face Chelsea, Liverpool and Manchester City in the coming weeks.
Manager David Moyes has said he believes it could be the club's hardest start to a season in 20 years.
Evans told Inside United: "It might not be a bad thing to get straight into the tough games.
"We've been waiting all summer to get stuck back into it, so why not bring on the hard games straight away?
"In any competition you always want a good start and the Premier League is no different. A winning start will obviously help you later on, but it's more important how you finish the season."
Evans, 26, is yet to feature for United this term after he aggravated an ankle injury late in pre-season.