Rashford was left on the bench for Thursday’s 2-0 Europa League win over Granada because of a foot injury and he was a doubt for the game at Old Trafford.
Solskjaer makes five changes from the team that beat Granada on Thursday, with David De Gea, Axel Tuanzebe, Alex Telles, Nemanja Matic and Edinson Cavani all dropping out of the team.
Mason Greenwood starts and will lead the line in the absence of Cavani.
Manchester United confirmed XI: Henderson, Wan-Bissaka Maguire, Lindelof, Shaw, McTominay, Fred, Fernandes, Pogba, Rashford, Greenwood.
Subs: De Gea, Telles, Tuanzebe, Williams, James, Mata, Matic, Van de Beek, Cavani.
Burnley confirmed line-up: Peacock-Farrell, Lowton, Tarkowski, Mee, Taylor, Cork, Westwood, Brownhill, Gudmundsson, McNeil, Wood.
Subs: Dunne, Richardson, Norris, Nartey, Stephens, Rodriguez, Vydra, Pieters, Bardsley.