The only Canon remote that is compatible with the VIXIA HF G70 is the RC-V100 remote. That camera can use non-Canon remotes as well. Through Canon support we can only recommend Canon products, so there aren't any non-Canon remotes we could recommend.
If you want to reference the manual for information on using remotes with the camera it is on page 75. If you need a copy of the manual it is available HERE. Once you are on the web page scroll down to the Manuals section and the one to reference is named HF G70 Instruction Manual.
Thank you very much for the answer. I understand that you can only say something about Canon products, but can you say whether this camera supports LANC? Because the camera is still very young, it is not yet on the lists of remote control manufacturers. Can I assume that if the HF-G 50 and the HF-G 60 are supported, then the HF-G 70 will also be supported?
Per the manual, the Camera's remote port supports "LANC Like" functions. I say like because Canon identifies the connection as "Remote Port" (not LANC). According to the manual, Canon's RC-V100 will not support Cancel, ND filter, AGC, Auto Iris or Shutter Select, so you get limited functionality in comparison to the features the RC-V100 is capable of. This information is on page 75 of the manual. Page 77 of the G50's manual is identical.
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If you type in "remote control for camcorders" on the website of Amazon (Germany), you will see a whole range of remote controls with LANC connection. I cannot say for sure whether these also work well, because I was only able to test the JJC SR-VD1. I also saw a number of JJC SR-VD1 remote controls on Ebay Germany, also new. Maybe that's another option.
Regards and success,