Almost every current graphics card is compatible with every computer monitor. However, if you want to be on the safe side, you should keep an eye on the connections:
If you have a computer with an HDMI port, the monitor also needs one; if it has a display port, it needs one.
But if you have a monitor for gaming or professional image editing, no standard graphics card will help you get the most out of your screen.
For this, state-of-the-art graphics cards are needed.