Hi,
Welcome to Microsoft community. I will surely help you to find a resolution regarding Call of duty game issue.
1. Have you logged in as administrator to run the game?
2. Were you able to install the game successfully?
3. What is the make and model of the computer?
4. Have you compare the minimum requirements for the game to run successfully in the computer?
Method 1:
These are the minimum requirements for Call of duty to work. Compare the specification with your computer.
Operating system: Windows Vista (Service Pack 2) or Windows 7
CPU: Intel Core2 Duo E8200 2.66 GHz or AMD Phenom X3 8750 2.4 GHz
Memory: 2GB for 32-bit OS or 4GB for 64-bit OS
Hard drive space: 16GB
Graphics hardware: Nvidia GeForce 8800GT 512 MB or ATI Radeon HD 3870 512 MB
Method 2:
I would suggest you to refer this article and run the game in administrator mode to check with the issue.
How do I run an application once with a full administrator access token?
Hope this information helps. Please reply back with the status so that we could help you further.