Not only did persons of color serve during WWII, they served with distinction, many of them being awarded the Presidential Unit Citation Medal. Without their bravery and service, those men from Easy Company could not have raised that flag inspiring that photo Americans rallied so famously behind during World War II. 
But sadly, you will rarely see depiction of any of them in films. 

Not only did persons of color serve during WWII, they served with distinction, many of them being awarded the Presidential Unit Citation Medal. Without their bravery and service, those men from Easy Company could not have raised that flag inspiring that photo Americans rallied so famously behind during World War II. 

But sadly, you will rarely see depiction of any of them in films.