Cutchin is accused of sending inappropriate text messages to a female player.
According to warrants, police have searched his home, SUV and seized his cell phone.
The Fuquay-Varina Police Department is also investigating. No charges have been filed.
Police Captain Bob Adams told ABC11 that WCPSS contacted police and reported that someone came forward with the allegations. Adams says the person who reported the information was not the alleged victim.
Cutchin also teaches at Fuquay-Varina Middle School. He has been told he's not allowed on Wake County Public Schools property pending the outcome of the investigation.
Right now, he's suspended with pay from both teaching and coaching while the investigation continues.
On Monday, no one answered the door where Cutchin lives with his wife and little boy.
Neighbor Michael Coley and his family have lived across the street from Cutchin for nearly seven years.
"Very outgoing and family oriented," Coley said. "He actually coached my two boys in middle school."
He didn't know and didn't want to comment about the allegations, but others have concerns if they're true.
"I think it's a shame," parent Rhonda Amato said. "I hope they do investigate it and if it is true then take proper measurements. But I guess he is innocent until proven guilty at this point. So, I just hope they look into it a little bit better to make sure it's accurate."
"He needs to be fired and prosecuted to the fullest extent of the law, but I feel bad for him if they're not true," concerned resident Ron Olsson said. "His reputation is tainted no matter what."
Police say they've interviewed several people so far and have others they still need to talk to.
At this point they cannot say whether or not something occurred, only that their investigation is still underway.