The France international was delighted with his side's display as it got its Champions League campaign off to a winning start.
The Primera Division side initially struggled against the Turkish champion before ultimately cruising to an impressive victory after the break, as a double from Benzema and a hat trick from Cristiano Ronaldo followed Isco's opening goal.
"This evening was one of these moments where everything seemed to fall into place," Benzema told reporters. "I felt very confident tonight, which obviously reflects in me scoring twice. But all in all the whole team performed well.
"I believe Galatasaray played a very good first half hour - very confident, aggressive, pushing us back a lot. Things changed after Isco scored, his goal gave us the necessary boost."
Madrid takes on Copenhagen on Oct. 2 in its next Champions League Group B clash.