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The Gunners won over Newcastle United on Sunday- a result that stretched their unbeaten league run to six and lifted them into the top four.
Xhaka is nursing a groin injury sustained on international duty with Switzerland, while Koscielny is another who has not featured since the Europa League win over Rennes on March 14 because of a foot complaint.
Arsenal also face a nervy wait on Ramsey, who limped off the field 67 minutes into the Newcastle match with a groin injury of his own, having earlier opened the scoring.
Unai Emery will hope for a boost on the trio ahead of Sunday's trip to Goodison Park for an Arsenal side already without the suspended Lucas Torreira.
Long-term absentees Hector Bellerin, Rob Holding (both knee) and Danny Welbeck (ankle) are unlikely to feature again this season, though the latter is back in training.
