3. David De Gea
David De Gea has been United's best player in the post-Alex Ferguson era, barring a poor run of form at the start of this season.
If there were any doubts regarding his status as the world's best goalkeeper, he banished them with 11 astounding saves in the second half of United's recent 1-0 win over Tottenham.
The 28-year-old has already captained the Red Devils under Solskjaer, being handed the armband when Ashley Young was rested against Huddersfield in December.
De Gea has sufficient experience at the club and also has good enough knowledge to become the permanent captain, and he has to be considered as a legitimate contender.
He's always been the subject of transfer speculation linking him to Real Madrid, but the Los Blancos signed Thibaut Courtois in the summer.
De Gea's commitment and professionalism has never been in doubt, and given that his long term future at the club is safe, naming him captain would be a great way to honour his incredible contributions over the last few years.