Liverpool signed Isak from Newcastle, while Wissa left Brentford for the Toon also on deadline day. Both strikers kicked up a fuss as they pushed to leave their respective clubs.
In contrast, Crystal Palace captain Marc Guehi saw a move to Liverpool collapse and didn't kickoff on Monday.
Former Reds striker Owen posted to X, stating: "Hmmm. Behave badly and get the move you want. Behave like a gentleman and miss out on the opportunity of a lifetime. No prizes for guessing how players will act in the future if this is the result."
Meanwhile, Sutton said: "Players sign contracts, people in their everyday lives sign contracts and you adhere to those contracts.
"It is absolutely despicable what they (Alexander Isak and Yoane Wissa) have done. They may well be happy tonight, but it is a disgraceful way to behave.
"Eddie Howe with Isak and his career - Isak owes Howe a hell of a lot, but he has treated him with total disrespect.
"Saying that, Newcastle have signed Wissa who has done the same as what Isak has done."