The 40-year old Australian goalkeeper was officially released by the Cottagers on July 1 but is assured that he will find a new home so he can settle and continue his recent stellar form ahead of the 2014 World Cup.
"Hopefully in the next couple of weeks something will be sorted. At the moment I am just weighing a few things up," he said.
"There have been some offers and it's possible I could stay in England or move abroad. There are a few possibilities.
"Nothing concrete has been signed or sealed yet but I am feeling confident about next season leading towards Brazil."
Regarding his Fulham exit, Schwarzer added: "I spent some of the best times of my career there, particularly the first two seasons. They were two of the most enjoyable I've had in my career.
"I had a great time there and a great rapport with the fans. But there are new challenges out there and you move on."