Norris will portray the father of Chris D'Elia's Alex, who is Whitney Cummings's character's boyfriend, reports Entertainment Weekly.
Whitney previously cast another male figure in Alex's life. Stand-up comedian Tone Bell will play his friend RJ.
Norris can be seen on Breaking Bad as DEA agent Hank Schrader, who is the brother-in-law of Walter White (Bryan Cranston).
Earlier this month, Breaking Bad aired the first part of its fifth and final season with the second half expected to premiere next year.
The second season of Whitney will premiere on October 9 at 8pm ET on NBC.
Watch a clip of Whitney (US only) below: