Does it matter where I open a Roth IRA if there are no fees attached?

It depends on what you want.

If you are looking for a certain type of investment or projected return on your investment…
Some financial institutions will limit your investments to mutual funds
Others provide certificate of deposits
Other provide a wide range of investments that you can mix


Like I said, it depends on what your goals are… if it is just to avoid paying fees, than it may not matter where the account is establish as long as that need is being satisfied