Ramsey was forced off in injury time during Wales' 2-1 Euro 2016 qualifying win in Andorra on Tuesday after picking up an ankle injury.
Gareth Bale spared Wales' blushes in the principality, with the Real Madrid star scoring twice - including a superb 25-yard free-kick nine minutes from time - after Ildefons Lima had given Andorra a shock early lead from the penalty spot.
Ramsey's problem was caused by a knock rather than anything to do with the pitch, but the 23-year-old is facing a race against time to be ready for Arsenal's home game against Premier League champions City on Saturday.
"He got a kick and there was a twist in his ankle," Coleman explained.
"It was coming to the end of the game and it was pointless taking a risk with him.
"Hopefully he'll be okay for Arsenal at the weekend, but we'll have to see what the next 24 to 48 hours hold."
