I also pulled this up from a website about zinc/antibiotic interactions.
Zinc may decrease the absorption of oral quinolones, a class of antibiotics that includes ciprofloxacin, norfloxacin, ofloxacin, and levofloxacin, as well as tetracycline antibiotics (including tetracycline, doxycycline, and minocycline)."
For more information just do a Google search for Zinc and Antibiotics. All the of the info I say states that they don't work well together. Hope this helps. (ps. I've been on antibiotics and zinc at separate times and neither did any wonders. I hope one or the other works for you though!!!)