Option 1:

I personally think in a world like the SHL where Pokemon can play hockey, I honestly think the reason that there are no injuries in the league is due to some kind of healing magic. Basically, the doctors in the league have spells that alleviate pain and stop injuries just so that the stars in the league can keep on playing and there are no down periods in the league when it comes to star power. The doctor all have to first go to medical training and then they have to go through training in both magic healing and ways to keep players from becoming too exhausted.

Every team is given thier own team of doctors that follow the team around, and the doctors are also different species depending on what species the players are. For example, Sir Devoir sometimes needs the help of an Audino pokemon or two and a Nurse Joy to keep him in top shape and always ready to step onto the ice and play up to his best.