I assume 0 Celcius is 32 Farhrenheit? That's not too cold, it's freezing. Long pants, socks, shoes, long shirt, cap, and you're fine.
OTOH, it's pouring rain here. I've hit in pouring rain, was fine with my 12.5 oz racket hitting those heavy wet balls. Our running and movement, however, was lacking in grace and precision.