However, Badenoch said appearing on the programme was "not my thing".
"What I'm amazed at is that Andy Burnham has got time to go on Gogglebox," she said.
"When you get a new job in politics it's so difficult.
"There's so much to do and it's like drinking from a fire hose.
"Even as a junior minister or as a secretary of state I never had time to go on Gogglebox - I just don't know how he's got the time.
"Gogglebox takes hours to do."
Describing Burnham as "on social media all day", she said she could do the same but "I wouldn't actually be able to do my job as leader of the opposition".
"My job is to hold him to account and I've seen a lot of prime ministers up close and I've never seen a prime minister have the time to do this much Goggleboxing, social media and Lad Bible," she added.
The special Gogglebox edition airs on Channel 4 at 21:05 BST.
Source: BBC Politics · Georgie Docker
At a glance
- Topic
- World
- Country
- 🇬🇧 GB
- Publisher language
- EN
- Added to Allnira