Van Persie hit back at Caldwell's claim that he refused to shake the Wigan captain's hand after Arsenal's shock 2-1 defeat on Monday night.
He said: "I was quite surprised by his reaction, and the fact that it made such news in the media.
"If you look properly at what happened, I offered him my left hand but he refused it and acted like the innocent party - so all the reaction has been a little over the top.
"There were no bad intentions on my side. In football, you can win and lose - that is part of the game, and of course I will always be disappointed with a defeat, but not to the point that I refuse to shake my opponent's hand. Not everything is always as it looks."