About Greenwich Veterinary Center The Greenwich Veterinary Center is proud to serve the Greenwich, CT area for everything pet-related. Our veterinary team is committed to our clients by keeping their pets healthy year-round through disease prevention, proper diet, and exercise. The Greenwich Veterinary Center stays on top of the latest advances in veterinarian technology and above all, remembers that all pets need to be treated with loving care in every check-up, procedure, or surgery.