Not so much color correction, but you should try to match the camera and its movements and lighting and reflections of the footage as closely as possible, as well as considering the shadows, the Object will cast (Shadow Catcher), when rendering you 3D model. If your materials are made correctly, no color correction should be needed. I don’t need to color correct my t-shirt, when going from the park to the shopping mall…
There are literally tons of tutorials out there that go through the whole process, but its not something I can explain in a forum thread. I’d recommend one (tutorial), but I don’t know your skill level…
