Wood was struck down with a lengthy injury just before the tournament however but was captain during last summer's tour to Argentina as Robshaw was given time to rest.
Robshaw was back for the autumn though and the entire RBS 6 Nations, which saw England narrowly miss out on a first title in three years to Ireland.
And Quins director of rugby O'Shea believes there is no longer an argument to be made for who should lead England - adamant Robshaw is the man for years to come.
"I think the captaincy issue is now done. It's over. Chris has put to bed any doubts some may have had about him either as captain or as a part of the team," said O'Shea.
"He has done enough and proved himself enough. I don't think there is a question mark now about whether he is the right man or not.
"Usually the captaincy question is mentioned over and over again. But that question about the captaincy was never brought up between the autumn internationals and the Six Nations.
"Stuart picks his squad, his team and then his captain. That's the way he does things. I'd like to think what Chris has done over the years with England, and the amount of time that has been invested in him, that he should remain as captain."