The only edition I could find during my research was the original exemplar from 1634:
Peruzzi, Orazio; Perucci, Francesco; Curti, Francesco (1634). Porte d’architettura rustica – d’Oratio Perucci pittore et achit.o reggiano ; date in luce da’ Dot.r Francesco suo figl.o. s.l. (Vittorio Serena)
Since the book only consists of etchings/illustrations, it seems comprehensible that there don’t exist any reeditions or translations of it. The only dubious thing is that (according to their official website) the Bibliotheca Hertziana in Rome is in possession of another exemplar from 1634.