The creative midfielder believes his side put on a good display and gave little importance to rumours about a potential transfer to Old Trafford
A Pablo Aimar strike on the hour mark restored parity in the game after United had turned the game around with goals from Dimitar Berbatov and Darren Fletcher following Phil Jones' own-goal just three minutes into the first half.
The result automatically qualifies Benfica for the knockout stages as they leapfrog United in Group C, and Gaitan praised his side's display against the Premier League champions.
"We are satisfied, we made a huge effort," he told RTP1.
"We played smart and dominated proceedings in the first 30 or 35 minutes. Overall, we played well.
"It was normal that United would up the pace - they wanted to win - but we wanted to get a draw out of it and I am happy with the result.
"To get a point at a stadium with such a history is always a good result."
The Argentina international then played down reports linking United with a move for his services, saying: "I am at Benfica and very happy at the club and in the city.
"We always play for important honours and I want to continue working for Benfica."
United will travel to Basel for their last group game, while Benfica will host Otelul Galati knowing a win will see them finish at the top of Group C.