Onana was outstanding for United in Saturday's FA Cup final triumph against Manchester City.
After initial doubts, the likes of Jim Ratcliffe and Jason Wilcox are agreed that Onana cannot be allowed to leave this summer.
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The Daily Mail says Kobbie Mainoo, Alejandro Garnacho, Rasmus Hojlund and now Onana are deemed unsaleable by United.
All other squad members, however, have been made available for the transfer window.