Gordon, 53, is also the National League club's major shareholder and chief executive, and has been in charge of the first team since Dave Hockaday left the role in January.
"I think what he's done with the players he's had has been amazing," Brown told BBC Hereford and Worcester.
"We haven't always had results, but the football's been the best I've seen."
Harriers have struggled all season in the aftermath of major financial problems and look certain to be relegated as they are 12 points adrift of safety at the bottom of the National League table with only nine games to play.
Gordon, who has stated that he does not want the head coach's job full-time, previously had a four-game spell in charge following Gary Whild's departure in September.
"Colin has a lot of interests in the football club and has a lot of skills," Brown continued. "He is not sure whether his skill-sets are right to be head coach, but I think he should be part of it.
"I can see his vision and the brand of football he wants to play and if I don't get him to do it, then second best thing would be that he's part of a team managing the club."
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Brown admitted Harriers were effectively 'bust' last November before Gordon bought a majority stake in the club,  but over the last 12 months have filled a financial "black hole" of £300,000 and reduced the playing budget from a peak of £800,000 two seasons ago to £260,000 at the start of this term.
With the club now on the way to becoming self-sufficient, he is adamant they will remain a full-time outfit.
"We will break even this year - the first time in 15 years and that's very gratifying," Brown added.
"Full-time football can be sustainable and I've got no doubt the future is bright."

It is showcasing the huge amount which can be achieved by adults with learning difficulties and children with complex needs.
The "We Can" project has held exhibitions at the Senedd, Houses of Parliament and in 24 countries.
Mold-based Same but Different is behind it and everyone involved has a learning disability.
"Sometimes people make remarks that I can't do things and this makes you feel like you can't do it, but then I look back and realise that I can do things," said Scott Morris, 20, from Deeside.
"I may learn a bit slower, but I can still do what you can do."
Scott said his dream is to become a farmer and, if he does not achieve it, he will be "really sad".
Kate Siseman, 36, from Buckley, who has Down's Syndrome, has enjoyed doing an office and media course.
She said: "I love the fact you can listen to music while you type because it helps me clear my mind out.
"If I had to describe myself I would say I was smart, friendly, caring, kind and very sociable."
Other people involved include Paige Bedford, aged 19, from Bagillt, who is on the autism spectrum.
She said: "Having a disability makes you unique, it makes you different from other people.
"It sets you apart.  It gives you a hidden edge that you don't know you have until you discover it."
Photographer and founder of Same but Different, Ceridwen Hughes, said "The aim of our organisation is to use the arts to create greater awareness of the person behind disability."
Kidderminster chairman Rod Brown says he wants interim head coach Colin Gordon to take the job permanently.
[NEXT_CONCEPT]
A new arts-based project using photography and video aims to show the people behind disability.