What companies offer cdl classe a training for free?

Nothing is ever free. When a company offers sponsored CDL training, it comes with the stipulation that you must work for the company for a specified period of time, or else you'll be required to repay the company. Such companies include (but are not limited to):

Swift Transportation

Central Transportation

Central Refrigerated

C.R. England

Werner Enterprises

Schneider National

Stevens Transport

PAM Transport

TMC Transportation

Roehl Transportation

Crete Carrier Corporation

Squire Transportation

US Xpress Enterprises

Trans-Am Trucking