English word sympathize comes from French sympathiser (To hit it off.)

Detailed word origin of sympathize

Dictionary entry	Language	Definition
sympathiser	French (fra)	To hit it off.
sympathize	English (eng)	To agree; to be in accord; to harmonize.. To have a common feeling, as of bodily pleasure or pain.. To show sympathy; to be affected by feelings similar to those of another, in consequence of knowing the person to be thus affected.