I have owned several Panasonic cameras, DMC-TS3 waterproof digicam, LX7 digicam, TM700 camcorder, and now the VX-870. I also tried the FZ1000 for a short time. Everyone of these cameras seem to have a bluish green tint to the video. From what I've read online this is common with Panasonic cameras.
Until recently I have just relied on automatic white balance then tried to correct in post if needed. Unfortunately, I discovered several situations where the white balance would change as I was panning across a scene (panning from incandescent to fluorescent lighting for instance). There was no way to correct this in my editor.
So, I started filming with the "cloudy" white balance setting on my TM700. It can sometimes look a bit off color when looking at the raw footage, but it's easier to correct in post than a changing white balance.
In my initial tests, the "daylight" WB seemed to give me better results on the VX870. However, I still need to make a comparison between the "daylight" and "cloudy" WB settings and see which works best for correcting later.
I am still not 100% sold on the VX870, but only have five days left to return it. The only other 4K camcorder close to my price range is the Sony AX33, and it has issues of it's own. I wish I could have tried both cameras to see which I like best, but that wasn't an option for me. So, I will probably keep the VX870 and try to get the most out of it. When the scene is in focus and the colors adjusted, the quality of the VX870 is amazing.
As I mentioned, I tried the FZ1000 which was a bit cheaper and had great image quality. But, the camera form factor, poor zoom controls, large size, etc. made it less than ideal for shooting video.