Unfortunately, most of the time, Adobe doesn't announce upcoming camera support for future acr releases.
In Capture One you should be able to Export the file(s) as dngs and then work with the dngs in adobe camera raw.
DNGs are supposed to have a DNG camera profile that tells DNG-compatible software the proper color strengths of the red, green, and blue photosite values in the raw data. Either the photosites are something other than the standard red, green and blue, or there isn't a proper DNG profile embedded in the DNG, and maybe both.
Incidentally, I have requested a DNG from a photographer at the DigitalTransitions website, of a model that has a color-checker on her head. I will attempt to create a custom camera profile from the colorchecker and see if things look right or not. I'm guessing not based on how badly yours turned out.
In the meanwhile I found some more info here that sheds some light on this:
It seems this issue has been present for a while: its issue with Capture One DNG handling (that theoretically is within Adobe DNG specifications but not really useful for ACR) that Phase One doesn't seem too queen to correct.
I can imagine why
Can only hope for ACR support soon.
Once Adobe Camera Raw code can support the native IIQ files, directly, it would have enough information to ignore what's in the DNGs and use its own, correct, color numbers.
I'm seeing the same green color cast in the DNGs I got from the Digital Impressions photographer. I am going to see if I can produce a camera profile that will work using the color checker, but I'm not holding my breath since the WB is so far out-of-whack.
ACR does support IIQ files, only not this digital back or maybe a more recent file revision, think it will happen later just would like to know what to expect regarding time frame.
Ive been down this road before, happens with every new back release, upon a time Adobe DNG converter would do the job (not anymore) and one other time could resort to use Leaf RAW Converter, none of those options work this time around.
Well, here we are in 2017 and still no support for Phase One XF IQ3 100mpxl files (.eip). And converting to DNG via phase one's Capture One creates unusable files (totally green). Ugh.
Phase One's tech support seem conflicted (ie, not fixing it so everyone uses Capture One). Adobe probably has this as a low priority given the niche-nature of this amazing camera, but maybe they'd rethink given that folks using this camera are often industry standouts...
Please update the camera raw plugin for 9.9 and Lightroom to 6.9/2015.9 version which includes the support for Phase One IQ3 100MP.
Download update for ACR: Camera Raw installer for Adobe Photoshop CC and CS6