I thought, at one time, submission was only for women; a misconception.
Submission is for everyone. No, a man does not submit to his wife. That would be ungodly and wicked. A man is the head of his wife as Christ is the head of the church. He must lead because the authority flows through him.
However, a man must submit himself to Christ. A man who submits to Christ is humble, tender, and very sensitive to his wife. He becomes a servant to her and his family. He loves her unconditionally and leads with wisdom.
"So ought men to love their wives as their own bodies. He that loveth his wife loveth himself. For no man ever yet hated his own flesh; but nourisheth and cherisheth it, even as the Lord the church:" (Ephesians 5:28-29)
"But I would have you know, that the head of every man is Christ; and the head of the woman is the man; and the head of Christ is God." (1Corinthians 11:3)