You'll be able to drop into the FPS armed with any CPU that's at least as powerful as the Intel Core i5 2500K or AMD Ryzen 3 1200, so long as you pair it up with 8GB of RAM.
The game is poorly optimized for the processor. If you want 150+ fps like in Modern Warfare 2024, you need to take a computer with RTX 4080 and i9 12900kf. I have a small bottleneck but in the normal MW i get around 140 FPS and in Warzone only 60 to 50 its running bad and stuttery.