There is currently a bug where players who are Silenced in any Blizzard game can’t make a game in D3. They are aware of the bug, and have been since mid October. It is complicated and takes multiple teams to fix - it is related to the Bnet account overall, not just D3.
I am sorry, but at this time you will just have to wait for your silence to expire.
If you feel the silence was in error and wish to appeal, you can do that here
The last link in the article takes you to the support system with a direct ticket link