Valdes joined United in the January transfer window as a free agent, having trained with the club prior to the move.
The former Barcelona star was able to make just two appearances in the Premier League this season due to the presence of David de Gea.
However, the 33-year-old is still pleased and has thanked the Red Devils fans for their support.
Thanks to Everyone for your Support. It is nice to be back on the pitch, and proud of wearing United's Shirt. pic.twitter.com/yWj4EOiG0y— Victor Valdes (@1victorvaldes) May 24, 2015
The trio assured the United fans that the players will return stronger next season.
Great support from the away fans once again today! United will come back better and stronger for next season!! @proscores— Anders Lindegaard (@ALindegaard) May 24, 2015
United played out a goalless draw with Hull City away from home at the KC Stadium in their final game of the season on Sunday.
The result means that Louis van Gaal’s side have finished fourth in the Premier League this season with 70 points from 38 matches.