IIRC, Brazile went on leave from CNN when she got the DNC gig.
"With news of Donna Brazile stepping in as interim chair for the Democratic National Committee, CNN and Brazile have mutually agreed to temporarily suspend her contract as a contributor for the network effective immediately. As a valued voice and commentator, CNN will revisit the contract once Brazile concludes her role," a CNN spokeswoman said in an email on Sunday.
CNN suspends ties with presumed successor Brazile - July
"On October 14th, CNN accepted Donna Brazile's resignation as a CNN contributor," said CNN spokesman Lauren Pratapas in a statement.