Depends on the quality of your travel insurance.
Some credit cards come with automatic travel insurance, but regardless it is well worth researching before you travel. Hospital stays abroad sometimes need to be paid out-of-pocket until you are reimbursed later on.
It all depends on the circumstances, your country of origin and any extra insurance you might have taken out.
I ended up in hospital for a fairly routine operation about a decade ago and had to pay out of pocket, luckily it was in a place where they just charge you for actual cost rather than to try to balance their budget by bankrupting you so it ended up being $1500. The same thing in the US would have been a large multiple.
