The 35-year-old has made 21 appearances in all competitions this season but was given a start by Ryan Giggs in Saturday's 4-0 victory over Norwich City at Old Trafford.
Ferdinand's contract with United expires this summer and, while he is yet to sign an extension, the defender says that he is exploring his options.
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"When you have been successful, you don't ever want to look on a negative perspective or from a negative viewpoint. You always look at it and think: 'What can we win and what do we want to win?'
"That will be no different next season, I am sure. Whoever is here, whoever is managing, the aim of this football club is to win trophies and we have done that consistently for the last 25 years. Long may that continue."
Ferdinand admits that he has been embarrassed by United's disastrous campaign but is adamant the players must take the blame even after David Moyes's sacking.
"I haven't looked at the league table for ages because it is embarrassing," the defender remarked.
"I don't want to see where we are. That is down to us as players and we take responsibility for that as much as anyone else. We are where we are. We have to take some form of responsibility and we do.
"We are not shirkers, we are not people who don't take responsibility. I don't think you get to where many of us have got to in our careers and won what we have won without taking responsibility. This is no different."