Solskjaer stuck with David de Gea last season, despite a string of high-profile errors.
However, De Gea will have two top keepers pushing him next season.
Argentina international Sergio Romero is regarded as the best back-up option in the Premier League and Dean Henderson will return from an impressive two seasons on loan at Sheffield United.
“I think I must be the most privileged manager in the world with the goalkeeping department,” Solskhaer said ahead of United’s Europa League quarter-final tie with Copenhagen.
“We’ll see what we’ll do going forward. Difficult? Yes. But that’s a good problem to have.”
United’s current rotation system sees De Gea start Premier League matches and Romero feature in the cup competitions.
