Flight Instructor reported an NMAC event during takeoff roll with a none reporting Eurocoper which passed within 300 feet above on a cross runway. The Flight Instructor took evasive action to avoid a collision.

Narrative

I was operating a training flight with a student pilot. After the helicopter had landed we delayed for their wake. After ensuring the runway environment and approach was clear we radioed that we would be taking off from runway XX and taxied onto the runway and initiated our takeoff roll on runway XX. As we passed Taxiway 1 intersection and approached Taxiway 2 the chopper took off and crossed the runway we were taking off from. I didn't not hear a radio call from them. They crossed about 300 feet passed the Taxiway 2 intersection of XX at approximately 20-50 feet above the ground. We were in the middle of rotating and preparing to lift off. Had to cut power to idle and max brake to avoid a potential collision and exited the runway at Taxiway 2. Had one of their employees tell me later it was his boss flying but did not hear anything else from him. It appeared to me he did not check the runway before taking off he flew out from the hangars. Uncontrolled airports are already dangerous enough when you have helicopters crossing and flying through the area disregarding other traffic in the area. Have had and heard of several incidents involving some of the other choppers flying through patterns heading opposite directions and forcing people to take evasive actions. Feel like a look into how helicopters depart ZZZ should be required. Intersecting takeoffs are not permitted and there is a published noise abatement they are supposed to follow which they did not the flew straight from the hangars and departed south west towards ZZZ1.