I initially emailed profile.update@avisbudget.com with a screenshot of my Hertz President's Circle status from the profile dashboard.
I received the following email back: Thank you for your e-mail regarding our Status Match Program with Hertz. Please go to Hertz.com, sign into your account, go to My Profile, Profile Summary and send us a screen shot of Section 1 being sure to include the top of the page with your name and loyalty level. We are unable to accept a screen shot of your membership card or other page on the site or app. For your security, when you e-mail us back, please make sure you use the e-mail address on your Avis Preferred Account. Thank you and we look forward to assisting you with your request.
After uploading the requested screenshot, I was awarded President's Club status.
For reference, I'm located in the US.