You’ll want to stay away from the Chinese languages, then.
The verbification (I don’t dare say “verbing”) of nouns is pretty common in English, too, though.
Would you never chair a meeting, table a discussion, fish for your supper, host a party, sandpaper a board, knife a friend in the back, ax a suggestion, dog an enemy, cat around town, worm your way out of a tight spot, vacuum a rug, string popcorn, paper a room, tile a floor, bomb a bunker, ship a package, cart firewood, truck vegetables to market, water a plant, number someone among your friends, finger a squealer, hand someone a napkin, eye a cutie pie, head a group, arm your forces, elbow (or shoulder, or nose) someone aside, book a suspect, tower over a child, lord it over a subordinate, shoe a horse, flour a countertop, light a lamp, gun down a rival, tongue a trumpet, trumpet your name to a crowd, fiddle while Rome burns, needle an opponent, cement a driveway, tar a road, score an opera, frost a cake, sugar your coffee, milk a cow, telephone a friend, poison an enemy, radio for help, skin a deer, ski down a mountain, circle the block, hammer a nail, or nail a board?
What’s funny about “task” is that it derives from the Medieval Latin verb taxare, “to tax”, so it’s actually a noun that is derived from a verb.
Its use to mean “to assign a task to” appears in my 1969 Random House Dictionary of the English Language, so it’s not exactly new. This is not to say that the sample you quoted is not obnoxious bureaucratese, just that it’s perfectly good English.
(That list was hard to come up with, although any English dictionary will show thousands of words that are both verbs and nouns. My American Heritage seems to show many more nouns derived from verbs than the other way around.)