Thank you very much for your question, welcome to the community.
So that I can provide you with the most accurate information can you please confirm that this is in reference to the Noise Cancelling Headphones 700 and not the Soundbar 700?
We would love to do what we can to assist you with this.
Tegan M - Community Support
Thanks for posting and updating us on this.
I can confirm that the Noise Canceling Headphones 700 will work when wired to the PS4 controller, however you will not be able to use the Mic.
If you have any further questions please don't hesitate to ask the community.
Thank you for your post and welcome to the Bose Community.
To play your PS4 audio through your Soundbar 700, I would recommend connecting the PS4 to your TV using HDMI out and then using HDMI ARC on your TV to connect to the soundbar.
If you have any further questions regarding this, please do get back to me.