can destroy damage be regenerated

[rotom]

can destroy damage be regenerated in magic

[Twanos]

419.6b
Regeneration is a destruction-replacement effect. The word "instead" doesn't appear on the card but is implicit in the definition of regeneration. "Regenerate [permanent]" means "The next time [permanent] would be destroyed this turn, instead remove all damage from it, tap it, and (if it's in combat) remove it from combat." Abilities that trigger from damage being dealt still trigger even if the permanent regenerates.