With most package car driving jobs, just a regular driver's license will do. A few states do require a special license to drive a commercial truck. Some '24 foot straight trucks require a Class B CDL, depends on gross weight of the vehicle. I still have a CDL from when I started driving, I just don't tell my management team.
Because folks who don't even bother to read the full description of the job they're interested in will never be taken seriously. If somebody asks a question they couldn't have easily found the answer to themselves, they get a serious answer. Promise.