Pietersen, 34, was discarded by England in February last year after their 0-5 Ashes defeat last winter. Pietersen later went on to release a book in which he said there was "bullying culture" in the England dressing room.
"I just think the sacking became a media uproar. It just seemed a bit unnecessary when every other player gets dropped for poor form, don't they?" Broad told BBC Radio 5 live's Sportsweek programme.
"It could have been handled very differently by everyone," Broad, 28, added.
"If I'd have been there I might have said: 'Look, that was such a disastrous Australia tour - all the players didn't perform to an international standard. You have to go and perform in county cricket at the start of the year to get back in the England team in May'.
"Then pick the team on players who went and performed and did their duties for their counties," said Broad of his former team-mate and captain.
However, Broad could not see a way back for Pietersen, due to the emergence of several talented young batsmen over the last 12 months.
"When you lose a great player, younger guys come in and perform, so actually if Kevin Pietersen was still in the side would Joe Root have taken the responsibility on this summer and averaged 99? Probably not, but he became the shining light of the England batting line-up.
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