Fisher

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Old English fiscere ‘fisherman’, of Germanic origin; related to Dutch visser and German Fischer, also to fish1.

wiktionary

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From Middle English fischer, fischare, from Old English fisċere(“fisher”), from Proto-Germanic *fiskārijaz(“fisher”), equivalent to fish +‎ -er. Cognate with Saterland Frisian Fisker(“fisher”), West Frisian fisker(“fisher”), Dutch visser(“fisher”), German Low German Fisker, Fisser(“fisher”), German Fischer(“fisher”), Danish fisker(“fisher”), Swedish fiskare(“fisher”).

From French fichet(“ polecat pelt”), probably from Dutch visse(“ nasty”); modified by folk etymology to resemble Etymology 1.

etymonline

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fisher (n.)

Old English fiscere "fisherman; kingfisher," agent noun from fish (v.). It began to be used of certain animals, hence perhaps the rise of the formation fisherman (1520s). Similar formation in Old Saxon fiskari, Old Frisian fisker, Dutch visscher, German Fischer, Old Norse fiskari.