The 31-year-old was on target from the penalty spot in Sunday's famous success over Hibernian that saw Hamilton return to Scotland's top flight after a three-year absence.
The Accies suffered a 2-0 home defeat to Terry Butcher's Hibs only to win by the same scoreline at Easter Road before Alex Neil's men held their nerve in the shoot-out.
Antoine-Curier had the best non-penalty goals per 90 minutes-ratio in the Championship last season, including four in their final game of the campaign against Morton.
He will now take a well-earned break and, while there is an offer on the table at Hamilton to stay, the striker wants to make sure he secures the right deal.
"There's an offer. I'd like to stay, but also at this stage of my career I have to assess all my options," he told Sky Sports.
"I think at this moment in time I need to take my time. This is very important for me. They'll be the first to know whether I'm signing or I'm not.
"I'd like stability. I don't just want one-year contracts every year. I think Hamilton is at a point where they can really build on their Championship success and the manager's told me he wants me to be here next year.
"He's only said positive things to me and I was very happy with that. My preference would be to stay, but it's got to be the right package for me at this point in my career. If it is, then I'd be more than happy to sign."
Antoine-Curier was a second-half substitute in Sunday's famous success and the striker says winning promotion was one of his best experiences in football.
"The team was magnificent. We fought for each other. Before the game everyone was really focused. We were up to the task. We weren't scared of Hibs," he continued.
"We knew that as soon as we scored the first goal they'd be in big trouble. You could see the frustration in their faces. When we equalised it was an incredible feeling.
"Both teams went for it in extra-time. Luckily we came out on top in the shoot-out. When Kevin (Cuthbert) saved (Jason) Cummins' penalty I didn't know what to do, to cry or smile or run. It was the best feeling ever."