Bopanna's victory will elevate him to the pinnacle of the rankings upon Monday's update, reclaiming his ATP World No.1 status achieved earlier this year in January, marking him as the oldest player to accomplish this feat.
The second seed Indo-Australian duo defeated 14th-seeded Dutch-Croatian pair of Wesley Koolhof and Nikola Mektic 7-6 (10-8), 7-6 (7-4) to enter the last eight stage.
The Indo-Australian pair encountered strong resistance from Granollers and Zeballos. Both teams held their serves in the initial set until Rohan and Abden secured a crucial break point in the 12th game, securing the lead.
While the Bopanna-Shapovalov pair hit five aces compared to three from Puetz and Zverev, the Indo-Canadian duo erred more on double faults. They had five double faults as against two by the German pair.