The veteran prosecutor would be the first Hispanic in Trump's Cabinet.
During a feisty press conference, the president claimed that his administration is running like a "fine-tuned machine."
Charges of spousal abuse dogged the hamburger mogul
Critics have also cited the corporation's treatment of both its mid-level managers and store employees during Puzder's tenure as CEO.
Along with now-confirmed Education Secretary Betsy DeVos, Andrew Puzder has been one of Trump's most controversial cabinet picks.
During Puzder's tenure as CEO, Carl's Jr. and Hardee's have faced more federal employment discrimination suits than any other major U.S. hamburger chain.
The online rant diverts attention from policies that will hurt working Americans
If confirmed, the fast-food executive is expected to oppose minimum wage increases and regulations aimed at worker safety.
Trump is expected to pick Andrew Puzder as labor secretary.