The sitcom is set in a veterinary practice and prominently features monkey performer Crystal, who has also featured in 2006 film Night at the Museum and 2011's The Hangover Part II.
In a post on its official Facebook page, animal rights group PETA has urged supporters to join in "standing up for the animals who are exploited for the NBC show Animal Practice".
"We would love to have you come out and hold a sign and help hand out leaflets!" the post reads. "If you are able to attend this protest, please wear all black. We are looking for volunteers to wear monkey masks as well (the masks will be provided)."
The protest is planned to take place today (September 19) from 11.45am to 1pm PT, in front of NBC Studios in North Hollywood.
A preview of Animal Practice aired on NBC on August 12, with the series scheduled to debut in full on September 26, 2012. The show will air on ITV2 in the UK.
> PETA: 'Lady GaGa, Rihanna are like desperate freaks
> Lady GaGa on PETA criticism: 'I respect your views, please respect mine'
Watch a promo for Animal Practice below: