Should I Ice After I Throw?
Any exercise or training modality has potential upsides and downsides. Icing has a place in recovery, but it should not be used on a consistent basis.
The general rule of thumb:
Ice is appropriate following an acute injury, like a sprained ankle.
Ice is not appropriate following soreness, especially on a consistent basis.
Icing has been shown to mitigate strength gains, likely because of the reduction of the inflammation. Inflammation is a normal stress response from the body following training.
Marc Pro actually has a great article explaining icing and its role in recovery. They also have references to articles backing their reasoning.