That’s the view of United defender Phil Jones who missed out on the squad that beat Leicester on the opening weekend.
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United ended last season in second place, though were 19 points behind champions Manchester City in the final standings.
Jose Mourinho’s side also made the FA Cup final but were beaten by Chelsea thanks to Eden Hazard’s penalty, which Jones gave away.
Many expect City to retain their title, with Liverpool expected to be their closest rivals.
And Jones isn’t ruling out Manchester United making a title push, but insists they need to stop worrying about their rivals.
“Yes, of course [we want to win the Premier League],” Jones said.
“It’s the most difficult to win out of the competitions in England. The level of the players and their fitness and ability is improving.
“I remember when I joined [United] in 2011; the Premier League has come on leaps and bounds since then – the pace of the Premier League and the games we’re playing in are so quick nowadays.
“You have to adjust and adapt to that, but it’s great to be a part of.
“The top six look very good and are going to be very competitive, so it’s going to be tough for us again this season – we know that – but I think we just need to focus on us a bit more and concentrate on how we’re going to approach games and let’s see where it takes us.”
Jones’ position at United seemed to be under threat during the summer with Mourinho reportedly searching for a new centre-back.
Toby Alderweireld, Diego Godin and Harry Maguire were both believed to be targets though the only signings that were made were those of Fred, Diogo Dalot and Lee Grant.
And former Premier League midfielder Jermaine Jenas believes United were right to reject Mourinho’s transfer wishlist.
He told Express Sport: “I agree with Ed Woodward and Manchester United and their thought process.
“If you look at the players Mourinho was trying to get, there’s no money in them. There’s success but in terms of a formula as a business, there is not much money left in Toby Alderweireld.
“Especially when he’s going to be worth £25million in six months time.
“In Diego Godin, he’s 32. Harry Maguire was the only youngster that he half pursued where there was money in and I’m guessing they couldn’t get him out [of Leicester].
“The warchest was there [but] it was a type of player they were going for and it didn’t really fit the bill for Woodward.”