Wrestling is a combat sport involving grappling-type techniques such as clinch fighting, throws and takedowns, joint locks, pins and other grappling holds.
Heavy boxing and pro wrestling can be dangerous sports which can cause considerable harm to the person or others. Islam does not allow causing harm to self or others.
According to some reports the Prophet practiced wrestling and some of his companions. This, of course, as a private training and not in the form of show or competition as we see commonly nowadays.
With prayers for your success.