Can i take a z-pack antibiotic and hydrochloride 12.5 together?

While no serious drug-drug interactions are known to happen among the drugs you listed, specific side effects to each still apply and should be reconciled with your prescriber and/or pharmacist, important specifically when started a new drug. Take meds as recommended.

If you mean hydrochlorothiazide, there is no interaction with azithromycin. You can easily check any combination of drugs online; several websites can be found by googling "drug interaction".