Total War: Rome II GPU Analysis
Comparing Total War: Rome II PC system requirements to all GPUs shows that Total War: Rome II is going to need a graphics card that is capable of OpenGL 3.2.

Total War: Rome II makes use of DX 11.00 so a GPU with that capability could benefit from enhanced visuals.

To get the best visual graphical experience on Total War: Rome II, aim to have a GPU that has at least 512MB GPU RAM.

Most bottom end graphics cards currently available today, will probably allow you to play Total War: Rome II

We are advised that 14 year old graphics cards should be able to run Total War: Rome II, but there could be a few exceptions to this rule.

Note that most games do not officially support laptop graphics cards, but nowadays many laptop graphics solutions are capable of running modern games. Whether desktop graphics cards or laptop, try searching for your graphics card to compare against the Total War: Rome II graphics card requirements chart below.