Van Gaal stated that Van Persie had not contributed enough last season and that he had to make his decision based on his interpretation of the facts.
“But in the end you always have to evaluate which players have contributed to our fourth place, which players a little bit and which players no contribution and then you make decisions,” Van Gaal was quoted as saying in the Express.
“But you make decisions on facts and not on other things. It is a process. It is what we have experienced in the whole season with each other. You have to oversee all the aspects.”
Van Persie struggled for playing time last season due to injuries but still managed to score 10 Premier League goals and provided two assists in 27 appearances.
The 31-year-old joined Fenerbahçe on a £3.8 million transfer from United a fortnight ago becoming the second player to join from Old Trafford this summer.
Luis Nani also signed for the Yellow Canaries agreeing to a three-year deal following his £4.2 million move.
Fenerbahçe take on Shakhtar Donetsk in the Champions League preliminary play-off round on Tuesday 28 July. The Yellow Canaries could take on United in the final play-off round if they knock the Ukrainian giants out of the competition.