On-loan Liverpool striker Carroll did not struggle one bit on his return to the first-team on Saturday, bullying the Swansea back line before heading home the winner with 13 minutes left.
"He should (get back in)," the West Ham manager said.
"As long as he can stay fit between now and the end of the season, get as many games as he can (he will).
"There is a lot more to come from Andy. If he produces better performances than he has today, and if he builds his goal tally up, finishes the season on a high, it will be great for us and it will be great for him.
"At the start of the season it was disappointing for him because of the injuries, but hopefully he can finish the season on a high.
"It was his first full 90 minutes in nine weeks.
"But when you looked at him it didn't look like any fatigue was there.
"He looked like he was enjoying himself and Nolan always seems to know where to go (when Carroll plays). He could have had a couple today, but their keeper (Gerhard Tremmel) had a stormer."