yes you just have to get the correct adapter plate for the beretta using the Shield RMS footprint

Hi Dan, you need the correct Red Dot Optic Plate, sold separately. Available plates are Leupold Pattern | C-More Pattern | Aimpoint Pattern | Burris & Docter Pattern | Trijicon Pattern | Blank Cover
You would need the Trijicon Plate for Romeo Zero Red Dot.
Available here >>> beretta.com/en-us/gun-accessories/pistol-accessories/optic-plates
Stay safe & have a great day!

Hi Dan and welcome. Yes, the SIG SAUER Romeo Zero Red Dot Sight will work with the Beretta APX A1 optics ready model using the Shield RMS pattern mounting plate from Beretta.