Fenerbahçe ended up beating Beşiktaş for the signature of the United star but Orman claims that the Red Devils got a higher price as a result.
Beşiktaş were reported to have made another late move for Van Persie but the 31-year-old decided to join the Yellow Canaries instead.
Van Persie arrived in Istanbul, Turkey yesterday and was greeted by thousands of fans who turned out to welcome the star striker.
The Netherlands international striker arrived at the general terminal at the Sabiha Gökçen airport and will be officially unveiled at the Şükrü Saracoğlu stadium this afternoon.
The 31-year-old will sign a three-year deal and United are expected to receive a £4.7 million transfer fee.
Former United winger Luis Nani also recently joined Fenerbahçe for £4.3 million on a three-year contract.