After the 30-year-old de Grandhomme engineered Pakistan's collapse to be all out for 133 at Hagley Oval, New Zealand's other debutant Jeet Raval put them in a strong position to be 104-3 in reply at stumps.
New Zealand made a rocky start to their reply when the experienced Tom Latham, Kane Williamson and Ross Taylor -- with 158 Tests between them -- could muster only 16 runs in total.
On what was effectively the first day of a now four-day Test, after rain washed out the scheduled Thursday start, the honours lay with de Grandhomme.
The Harare-born, former Zimbabwe under-19 representative is more renowned as a big-hitting batsman but was picked for the all-rounder role ahead of the more experienced Jimmy Neesham in the swing-friendly conditions.
Only seven other New Zealand bowlers have taken five or more wickets on debut, with the previous best figures belonging to Tim Southee at five for 55.
- Misbah resistance -
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Although conditions appeared ripe for bowling when Williamson won the toss his strike pair Southee and Trent Boult strayed too much to seriously trouble Pakistan openers Sami Aslam and Azhar Ali in the first hour.
But it was all change when Williamson overlooked Neil Wagner as his first-change bowler and flicked the ball to de Grandhomme.
With his 15th delivery the Aucklander tempted Ali to prod at a ball that seamed back and clattered into the off stump.
Ali was gone for 15 and what was to be Pakistan's second highest partnership of 31 was over.
But, in the first over after the break, Shafiq fell for 16 when a swinging de Grandhomme delivery sent an edge to Raval at second slip, starting a slide that saw Pakistan's last six wickets only add 45 runs.
Misbah offered stubborn resistance in a near three-hour innings, reaching 31 off 108 balls before slashing at a Boult flyer to be caught by Williamson.
In addition to de Grandhomme's 6-41 off 15.5 overs, Southee took two for 20 while Boult had figures of two for 39.
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