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In theory, since international LTE model GT-i9505 and T-Mobile Galaxy S4 SGH-M919 share the exact same hardware as AT&T Galaxy S4 SGH-i337, it should be possible to install GT-i9505/T-Mobile custom ROMs on your AT&T Galaxy S4.
Well, I tried it today and it works just fine. You will need to install a custom kernel such as KTweaker kernel after installing ROM though to bypass the locked bootloader on your AT&T Galaxy S4.
For Canadian SGH-i337M users, you don’t need to install a custom kernel, just install any GT-i9505/T-Mobile custom ROMs and they should work out of the box but do check for modem in the ROM file also.
To install GT-i9505/T-Mobile custom ROMs on your AT&T Galaxy S4:
First, make sure there’s no modem.bin file in the custom ROM zip file. You can easily check this by opening the ROM zip file.
Second, make sure you are using GT-i9505 custom ROMs NOT GT-i9500! GT-i9500 uses different Octa-core CPU, meaning you can hard-brick your phone so just make sure you are using GT-i9505 or T-Mobile custom ROMs.
Third, you can use TWRP or CWM recovery. If you get Status 7 Error during install, you need to remove asserts using this method.