He insists United will be even more determined to win their 20th league crown next term.
The Welshman said: "City have been up there with us for a couple of years. They won the league, and whoever wins the league deserves to win the league. It is as simple as that.
"For a United player it is always a challenge, whether you are defending a title or trying to get it back.
"Next season will be no different. We will be more determined than ever to try and win the Premier League back, and it is up to us to do that.
"We were just pipped at the post on the last day, but we have done it to other teams over the years, and it is up to us to try and go one better next year."