Does being “paralyzed” grant the effects of a rest

One of our players got paralyzed for 10 hours by a special dart (homebrew). We were in combat when he went down and were in combat when the effect wore off although they were 2 separate encounters. When he woke up in the middle of the fight we didn’t know whether the paralyzation counted as a long rest so we were unsure whether he had full hp or was still injured from before?