The NHL announced the discipline on Saturday.
Green delivered the hit in the first period of Friday night's 4-1 win over the Panthers. Frolik was not seriously injured and Green was given a minor penalty for elbowing on the play.
The defenseman later had to be helped off the ice after bruising a thigh in a collision with Dmitry Kulikov while going for a loose puck.
He'll be eligible to return Friday night against Atlanta.
Green will lose more than $81,000 in pay with the money going to the Players' Emergency Assistance Fund.