The 33-year-old Crystal Palace defender admitted he chose to call time on his 12-year international career before Norway launch their Euro 2016 qualification bid.
Hogmo praised the decision of his "wise" captain.
"I have great respect for the decision," said the Norway boss.
"Brede is a wise man, he has had an illustrious career in the national team and has been captain with a capital C.
"It's been a pleasure to work with Brede, and I look forward to keeping in touch with Brede, although he will now concentrate on his club career."
For the big stories and the banter follow us on Twitter: @tribalfootball