After appearing to slip on the 3G pitch in opponents Andorra's National Stadium, the Gunners star was withdrawn in stoppage time.
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"I'll be alright," Ramsey told BBC Sport. "The pitch was very hard. There's no give in it so I rolled my ankle a bit.
"Hopefully it will be nothing and I'll be available for Saturday. These are the games you want to play in and I'm looking forward to it."
The playing surface was the subject of serious criticism after Wales's come-from-behind 2-1 victory on Tuesday and Ramsey added his voice to the chorus.
"I don't know how you could play football on that pitch, to be honest," he said. "Normally we play quick and play the ball on the floor, playing around teams, but we couldn't do that. It was bobbly so it was very difficult.
"The main thing is we came here and won. Now we can move on and play on grass next time."