Leonard, who has just signed an elite development contract at Edinburgh, will be one of the youngest players on the field alongside debutant fly-half Stuart Edwards.
But former British & Irish Lion Wright expects Leonard to lead by example in Inverness.
He said: "Harry is obviously still quite young, but he's extremely vocal and not afraid to give his teammates a tough time if he feels it's appropriate.
"He's a mature rugby player and a mature guy, and we want to harness the leadership qualities that he has to the benefit of the team.
"Stuart will provide a strong all-round game at 10. He can run the ball, he can get the backline moving and he also has a good kicking game. He's been chomping at the bit for an opportunity and now has to grasp it."
"Tulloch Caledonian Stadium is a magnificent venue for a match like this, and the guys will relish playing there, especially if the support is anything like what we saw and heard for the France game last year.
With Edwards starting at fly-half, Leonard and Mark Bennett shift to inside and outside centre with Stuart Hogg, who will start for Glasgow in the Magner's League, dropping out of the 22 after his red card against Wales.
In the front row, Edinburgh's Colin Phillips and Team Northumbria hooker David Cherry are giving starts as they replace Hunter and Richard Ferguson who both drop to the bench.
15 - Glenn Bryce (Heriot's)
14 - Mike Doneghan (Glasgow Warriors/Stirling County)
13 - Mark Bennett (Glasgow Warriors/Ayr)
12 - Harry Leonard (Edinburgh/Boroughmuir) (Captain)
11 - Kerr Gossman (Glasgow Warriors/Glasgow Hawks)
10 - Stuart Edwards (Stirling County)
9 - Jamie Stevenson (Westcombe Park)
1 - Robin Hislop (Edinburgh/Boroughmuir)
2 - David Cherry (Team Northumbria)
3 - Colin Phillips (Edinburgh/Stewart's Melville)
4 - Mitchell Todd (Nottingham)
5 - Robert McAlpine (West of Scotland)
6 - Alex Spence (Heriot's)
7 - Hamish Watson (Leicester Tigers)
8 - James Tyas (Bath)
16 - Richard Ferguson (Melrose)
17 - George Hunter (Glasgow Warriors/Glasgow Hawks)
18 - Andy Kirkland (Glasgow Hawks)
19 - Mitch Eadie (Filton College)
20 - Sean Kennedy (Stirling County)
21 - Craig Jackson (Melrose)
22 - Sam Atkin (Edinburgh Accies)