Scot Muir claimed silver and bronze in the 1,500m and 3,000m, respectively, at the World Indoor Championships in Birmingham.
They were her first world medals after a double European Indoor gold in Belgrade 12 months ago.
Muir will finish her veterinary studies in May to allow her to focus more time on her athletics career and, ahead of Tokyo 2020, Black expects her to challenge.
“With the ability she’s got she has to be a repeat medallist. Everything would suggest she is going to win gold medals in the future,” he said.
“Everything is focused on the Olympic Games, I’m absolutely sure Laura’s target is Tokyo 2020 and on to 2024. She is not shy of that.
“We’re going to see a more confident Laura and she’s going to go into every competition believing she’s got a really good chance of winning.
“I don’t want to belittle European competition but it’s not world and I know people will say indoor isn’t outdoor but there weren’t many missing and she competed against the best in the world.
“The confidence that will bring, by removing the burden knowing you’ve got the ability but not having done it, is important.”
Muir’s success was built on by Katarina Johnson-Thompson winning pentathlon gold, and Andrew Pozzi taking the 60m hurdle title.
Eilidh Doyle and Shelayna Oskan-Clarke won bronze in the 400m and 800m, respectively, and the women’s 4x400m squad also came third.
Johnson-Thompson was favourite for the pentathlon, with Olympic and world champion Nafi Thiam absent along with Carolin Schafer and Anouk Vetter.
It was the 25-year-old’s first global title after a string of disappointments at the World Championships and Olympics.
Black believes Johnson-Thompson will accept victory will be judged against a weakened field but feels it will give her belief.
“She will do the same thing, she’s no fool. What we expect from Kat is she will now go into competitions believing she will perform at her best,” he said.
“We haven’t seen her unrestrained or without the stress of that fear of failure. This is the platform to see what she’s really got.
“It’s like being released from having a big weight on your back. She can start to let herself believe, rather than dwelling on the negatives.
“When you relax you start to perform. If she can put those performances consistently together then she can score high.”
Oliver Gers has resigned as the chief executive officer of the IAAF.
In a statement, Gers said he was ending his stay with athletics’ governing body owing to difficulties relating to the existing commercial framework in place.
“Whilst I am sorry to be leaving, the pre-existing commercial framework makes it difficult for me to apply my talents and fully leverage the assets of the IAAF in the way I would like,” he said.
“Given my stance, I have resigned so the IAAF can pursue a different commercial strategy for the sport.”