You've already gotten a lot of answers that tell you to get a better card.
There are two other things I want to mention about using cards in other countries.
Terminal Conversion Fees
Besides any fee your own card might charge you, some card terminals, particularly ones you find at locations that see frequent tourists, detect your home currency, and offer you the option of paying in their native currency or yours. Do not choose yours.
Basically, they've done the conversion for you to make you feel comfortable about how much you're spending, in a currency you can think in, but they charge a decent fee to do it. Usually it's in some small print on the terminal somewhere, or it's just baked into the "conversion rate" that they're displaying to you and you can't even tell how much they shaved off.
And of particular note to you, charging in your own currency would not avoid the Foreign Transaction Fee your card charges, because that fee is about the location of the merchant, not the currency conversion, so you'd get hit with both.
Just choose the native currency and let your card do the conversion.
Kiosks - Chip & PIN
Our cards here in the US have chips now, but we still sign for transactions. In most other places in the world, they use the chip with a PIN to authorize the transaction.
Despite having the chip, very few American cards support a PIN for retail transactions.
When you're at a cashier this is usually fine because although they may not be familiar with it, their terminals can usually handle a signature transaction.
Where you run into trouble are kiosks and automated systems. They won't work with a card that doesn't support a PIN.
As for what cards to use, when I was searching for cards with:
- No Foreign Transaction Fee
- No Annual Fee
- Supports Chip & PIN
I only found one a few years ago, and it was the Bank of America Travel Rewards card. It's otherwise pretty crappy in my opinion but could be useful if you want something with good foreign compatibility that won't cost you anything.
For a more recent card that fits those criteria, the Uber Visa checks all the boxes, and actually has some decent rewards too (4% back on restauarants, etc.).
Discover has a bunch of cards with no annual fee and no FTF, but their acceptance outside the US is miserable. Even in Canada I could barely use it.
As others have said if you're willing to pay an annual fee, you'll find a bunch more that have no foreign transaction fee, but you have to look harder (and possibly call them) to figure out if they support a PIN.