The on-loan Monaco striker has struggled with fitness and form since moving to Old Trafford in early September.
His second half equaliser in the 1-1 draw with Aston Villa was just his second for United and Carrick said: “He’s scored so many goals over the years and you feel when he gets the chance he’ll score.
“It was a terrific header, so I’m pleased for him. After being out for a bit that’s him back and hopefully he can go on a bit of a streak now.
“It was a great run by Ashley (Young), a great ball and a great header. It was a nice goal all around and I’m pleased for Falcao.”
But the England midfielder admits he is disappointed that the Reds could only claim a single point in the midlands: “We came here to win so we feel we let two points go. We controlled the first half and went a goal down from nothing.
“We didn’t create enough around their box to be a real threat. The second half was better and we felt we could go on and win it but the final cross didn’t really go for us.
“We felt we were in control of the game. When they went to 10 men we didn’t make the most of it.
???We tried things which maybe weren’t on so that’s a bit frustrating as we had the opportunity to put them under pressure.
“We would hope for more but we didn’t lose, we took a point and hopefully we can carry it on over Christmas and be stronger when we come out the other side in January.”