Berahino's header in minute 53, along with Juninho Bacuna's rather unorthadox own goal in minute 97 gave Stoke the win over Premier League side Huddersfield Town.
"He needed a lucky break and he’s reacted well," Rowett told 'Sky Sports'.
"I’m pleased for everyone first and foremost, but I’m pleased for him."
"He’s only 25 and he’s got a bright career. It’s a good start for him and he’s got to keep working hard. He’s been one of our brighter players and his work rate has been excellent."
"If you haven’t scored that many goals it’s hard, so I’m pleased for him. The first day I came in Saido came to see me and wanted to see where he stood and to discuss why previous regimes had maybe ostracised him, maybe?"
"He said he’d been to blame for some of his actions and he was honest, which is the first step for anyone who has done something wrong and wants to start afresh."
"All I said to him was forget me – if you work hard for me then you’ll win me over. I told him it’s the rest of his mates he has to win over, he had to earn the respect of his team-mates back and for them to trust him."
"When he scored everybody went over to him, which shows they were all really pleased for him. He’s worked hard since pre-season and earned the respect of his team-mates."