Short answer
Americans and other foreigners can generally buy apartments, houses, and commercial property in Argentine cities. Argentina's Constitution says foreigners may possess, buy, and sell real property, but that right operates within current laws, taxes, registry rules, and any special restrictions.
Where extra checks apply
Rural land is different. Ley 26.737 can require a foreign buyer certificate and applies ownership caps. Properties in border security zones may also require prior approval before transfer or possession.
What to verify before wiring funds
Confirm buyer tax ID needs, seller authority, title, liens, property debts, price currency, closing logistics, taxes, and whether the property can legally be used for your intended rental or lifestyle plan.