If you look for 3/8" stock that is 9.53mm and will actually come a fraction under that so should suit your needs.
If you need it an exact size I would suggest getting 3/8" precision ground mild steel and making your holes with a 3/8" H7 reamer
Silver steel can be milled without issue, just a little bit harder than mild steel
What are you making, is it to fit an existing part which may well be imperial size eg 3/8" or are you working to an imperial drawing that has been converted to metric with only one decimal place used?
Edited By JasonB on 11/11/2017 13:28:50