Hearthstone: The Grand Tournament GPU Analysis
Comparing Hearthstone: The Grand Tournament PC system requirements to all GPUs shows that Hearthstone: The Grand Tournament is going to need a graphics card that is capable of OpenGL 2.1.

To get the best visual graphical experience on Hearthstone: The Grand Tournament, 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 Hearthstone: The Grand Tournament

We are advised that 14 year old graphics cards should be able to run Hearthstone: The Grand Tournament, 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 Hearthstone: The Grand Tournament graphics card requirements chart below.