Fletcher returned to action for United in a benefit match against Aberdeen last month.
The Scotland skipper had been out of action since November last year due to a chronic inflammatory bowel condition.
It had been feared that Fletcher would never play again.
United have decided not to include Portuguese winger Bebe in their squad.
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Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.