Drs prescribe zinc these days.
You do want to be careful with zinc supplementation. Daily zinc dosing can cause a build up in your body to the point of toxicity. A lot of journals point to 50 mg zinc per day as the absolute high point, and since zinc is naturally occurring in foods, esp. leafy greens and red meat, you want to be careful.
Zinc is outstanding for immune support when you’re not feeling well, but for most individuals, daily supplementation of zinc isn’t necessary.