Feyenoord forced eight saves from Villa goalkeeper Marco Bizot, though ended up losing 2-0 on the night.
Van Persie said afterwards: "We performed really well, in terms of defending high. We won so many balls (by doing that). In possession we played well and created a lot of chances... (there weren't) a lot of chances against us.
"I also think we played really well in the second half, so it's a bit of a strange feeling to be standing here with a 2-0 loss because, in my opinion, we deserved more.
"I care about how we play, how we defend, how we attack, and that was spot on tonight.
"We showed a lot of courage in the way we attacked and a lot of composure on the ball. We created so many chances. Overall, I have a really positive feeling.
"I didn't have a positive feeling about our (Matchday 1) game in Braga (1-0 defeat), because in that game we didn't perform well. Tonight we did, so we have to keep going and the results will follow."