Manzoor, who was recalled for the Zimbabwe series after more than three years out of the Test team, was on 51 not out at the Harare Sports Club.
Younis Khan, who made an unbeaten double century in Pakistan's win in the first Test, was unbeaten on 13.
Manzoor, who survived confident appeals for a catch behind the wicket and leg before wicket early in his innings, showed good timing as he hit nine fours in reaching his fourth Test half-century off 119 balls.
Pakistan endured a frustrating morning as it took them more than an hour and one ball short of 20 overs to capture the last two Zimbabwe wickets after the home side resumed at 235 for eight.
Junaid Khan took his fourth wicket of the innings when Prosper Utseya hooked a short ball to deep backward square leg after making a stubborn 22 off 82 balls.
Cracks were visible on the surface but the bounce was mainly predictable.
Junaid finished the innings with four for 67 but in eight overs on Wednesday was unable to recapture the menace he showed on the first day.
Off-spinner Saeed Ajmal, who took 11 wickets in Pakistan's win in the first Test at the same venue, sent down seven overs without adding to his single wicket of the first day.
Left-arm spinner Abdur Rehman ended Zimbabwe's resistance when he trapped Chatara leg before wicket.
