US stocks *are* international, as are UK, Japanese, Chinese etc, etc.
You're better off thinking of global vs domestic... and that line can usually somewhat be drawn by looking at different cap size. For the UK at least, the FTSE 100 is mostly multinationals, where the FTSE 250 is much more UK centric.
KO, MCD, GE, MSFT, AAPL... About as international as BP, ULVR, Shell, HSBC...