The pair had not featured for Arsenal since the Europa League quarter-final against CSKA Moscow but both will feature in Arsene Wenger's XI for the clash against the La Liga giants.
Mohamed Elneny suffered ankle ligament damage in the win over West Ham on Sunday and is out for two to three weeks which gives Wilshere the chance to play in midfield.
Arsenal's substitutes bench includes Alex Iwobi and Sead Kolasinac while youngsters Eddie Nketiah and Ainsley-Maitland Niles are also among the options.
Atletico meanwhile include former Chelsea striker Diego Costa on the bench after he travelled despite being a doubt through injury.
Arsenal team: Ospina; Bellerin, Mustafi, Koscielny, Monreal; Xhaka, Wilshere, Ramsey; Welbeck, Ozil, Lacazette
Atletico team: Oblak; Vrsaljko, Gimenez, Godin, Lucas; Thomas, Saul, Correa, Koke; Gameiro, Griezmann