The young Irish attacker was having a good game, but he came off after 63 minutes.
The player himself was disappointed, but Potter believes he is executing the right plan to integrate Connolly into the team and the Premier League.
Potter told The Argus: "That's Aaron. I think he was a little frustrated he missed his chance in the first half and he wanted to stay on.
"In the last three or four weeks he has had a bit of up and down stuff with his injury, with his hamstring. He missed some international games. He was running around such a lot.
"I thought he had a really impactful hour and it's a decision to maybe err on the side of caution with him.
"We pushed Danny (Welbeck) a little bit higher up because Danny had gone a little bit deeper at that point.
"I thought Aaron was great. He did exactly what we wanted him to do.
"We wanted him to run in behind, test their back line and their defence and I thought he helped us do that, with him and Danny."
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