According to reports from Turkey, the injury is serious and the 33-year-old striker may permanently lose vision in one eye.
Fenerbahce's doctor Burak Kunduraciogl was quoted by BBC, he said: "He received a blow to the eye and suffered a torn eyelid and bleeding.
"After the investigations, we learned that nothing important happened. His condition is good."
From the pictures we have seen, Robin van Persie's left eye got severely bruised during a clash with a Akhisar Belediyespor defender.
Here are two videos of Robin van Persie's injury: