Brazilian helped end Gunners' title chances.
The Brazilian pulled off a string of astonishing second half saves, including one from a superbly struck van Persie free kick, to help Spurs to a 2-1 win.
Van Persie believes that those saves ended up being the difference between the teams after the Gunners' late push for an equalizer.
"Yes, especially the first one," the Dutchman told the Gunners' official website.
"I expected that to go in but somehow he saved it which is crazy. The free-kick was going straight into the top corner and he saved that as well. Those were big moments.
"It is a thin line between winning and losing. We had some good chances, they had some too. I felt we deserved maybe a draw from tonight. If you look at the second half we had a number of good chances and their keeper made a couple of unbelievable saves."
Van Persie also agrees with Arsene Wenger's assessment that the defeat to Spurs signals the end of the Gunners' chances of winning the Premier League title.
"I don't think Chelsea will drop more than six points now," he admitted.
However, the Dutchman also feels that there are some positives to be taken from the campaign, with more valuable experience gained by a fast-maturing team.
"Definitely, if you look at last year," he added. "No one really expected this. But when you are this close you really want to win it. When you don't do that it is frustrating.
"It felt good and I am happy to be back. But when you are there and your team is behind you want to do something to help them.
"Unfortunately I could not do that this evening."
Want more from Goal.com? Become a fan of Goal.com North America on Facebook.