The Qalandars made 198-6 off their 20 overs after being put in to bat by the Gladiators.
Hope led the way with a 32-ball 47 including five fours and a six. Zimbabwean all-rounder Sikandar Raza provided good support with a rapid 16-ball 32 and Mirza Baig was also in a destructive mood with 31 off just 15 balls.
Afghan leg-spinner Qais Ahmad took 2-36 from his four overs. West Indian Odean Smith also took a pair of wickets in his four overs and went for 41 runs.
The Gladiators reply never really got off the ground with only Jason Roy providing some tense moments for the Qalandars with a brisk 48 off 30 balls including five sixes.
Pakistani speedster Shaheen Shah Afridi was chief destroyer for the Qalandars with 3-22 from his four overs while South African all-rounder David Wiese, who now represents Namibia in international cricket, took 3-23 from his four overs.
Pollard’s 57 from 34 balls during a 65-run partnership with Tim David after Multan Sultans lost Usman Khan for 29, Mohammad Rizwan for 33 and Rilee Rossouw for 13 to be 90-3 in the 13th over. The powerfully built Trinidadian smashed one four and six sixes, three of them coming off the bowling of Shaheen Afridi in the 19th over that yielded 20 runs.
He was eventually bowled by Haris Rauf in the final over in which Multan Sultans also lost the wicket of Khushdil the very next ball.
David remained unbeaten on 22 watched from the other end as Rauf finished with figures of 3-34 when the innings closed at 160-5.
Needing eight runs an over for victory, Lahore Qalanders found the going tough at 15-2 as Cottrell dismissed Mirza Baig for eight and Abdullah Shafique for a duck in the third over. Anwar Ali bowled Fakhar Azam for six and Lahore were quickly in deep trouble on 19-3.
Cottrell picked up his third wicket when he dismissed Afridi for a duck in the fifth over to make it 28-4. Pollard got rid of Sikandar Raza for one as Lahore crumbled towards defeat.
Sam Billings scored 19 and Rauf 15 but wickets continued to regularly as Lahore folded for 76 in 14.3 overs.
Cottrell finished with 3-20 while Pollard took 1-3 from the only over he bowled.
Pollard achieved the milestone in a Pakistan Super League game between the Multan Sultans and the Lahore Qalandars.
The 35-year-old entered the game needing just 16 runs to achieve the feat and made 39 off 28 balls including two fours and three sixes as his Sultans suffered a 21-run defeat at Gaddafi Stadium in Lahore.
Pollard, the all-time leader in T20s played with 620, brought up his milestone in 550 innings.
Overall, the Trinidadian now has 12,023 runs at an average of 31.15 including one hundred and 56 fifties.
Only two batsmen have scored more T20 runs than Pollard: Pakistan’s Shoaib Malik who has 12,515 runs in 509 matches including 77 fifties and, of course, Chris Gayle who has 14,562 runs in 463 matches including a record 22 hundreds and 88 fifties.
The foundation for Peshawar Zalmi's imposing total of 211-4 was laid by the explosive opening pair of Sayim Ayub and Captain Babar Azam. The duo forged a formidable partnership of 136 runs before the experienced Shahid Afridi made a breakthrough in the 15th over, dismissing Azam for a well-compiled 48.
Ayub, undeterred by the fall of his partner, continued his aggressive onslaught on the opposition bowlers. The batsman hammered eight fours and four sixes on his way to a brilliant 88 before also falling victim to Afridi. With Ayub's departure, it was Rovman Powell's time to shine.
Powell entered the crease with a bang, unleashing a flurry of boundaries and sixes to propel Peshawar Zalmi past the 200-run mark. The Jamaican's exhilarating knock, which included five fours and two sixes, provided the crucial late flourish. Contributions from Mohammed Haris (12 from 5 balls) and Paul Walker (2 from 1 ball) took Zalmi to a formidable total.
In pursuit of the challenging target, Lahore Qalandars relied heavily on Rassie van der Dussen's breathtaking century. The South African batsman displayed remarkable stroke play, amassing an unbeaten 104 from just 52 balls, featuring seven fours and six sixes. However, despite van der Dussen's heroics, Lahore Qalandars fell short by eight runs, finishing at 203-6.
Shai Hope chipped in with 29, and Ahsan Hafeez contributed 20, but they couldn't provide the partnership needed to secure victory. Naveen-ul-Haq, despite being expensive with figures of 2-50 from his four overs, played a crucial role in containing the Qalandars' batting onslaught.
Ultimately, it was Rovman Powell's blistering innings and Peshawar Zalmi's collective effort that secured the thrilling win, marking a memorable encounter in the Pakistan Super League.