A post on the GMP Bury South Facebook page read: "If anybody has any information about this act of vandalism on St Mary's Park please drop us a message on here or pass the information onto the Phoenix club. Thank you."
Residents shared their views on the police post.
Sue Silvester said: "And this is why we can't have nice things. Absolute disgrace."
Anthony Edwards said: "What possible pleasure can anyone get out of doing this, beggars belief."
It is understood the nets have since been repaired and are now back in use.