The only way to play this specific title on a computer is through console emulation:
Users often search for "Call of Duty 3" on PC but may actually be looking for:
Both are officially available on PC through Steam and Battle.net. Call of Duty: Black Ops III : Officially available on PC.
Used for the original PS2 version. Common Confusions
Development of Call of Duty 3 was handled by Treyarch with a very tight eight-month window. Due to this short timeframe and the focus on the launch of "next-gen" consoles (at the time, PS3 and Wii), the planned PC version was scrapped to ensure the console releases met their deadlines.