The Australian club parted company with the eight-time Olympic gold medallist earlier in November after reportedly being unable to find a commercial deal to meet Bolt's wage demands.
Bolt played 95 minutes for the Mariners over two trial games, scoring twice against weak opposition, and remains determined to impress elsewhere in a "positive" environment.
"We have a lot of offers," he told Standard Sport.
"It's just finding the right one because the next one I have to make sure it's going a positive way so that’s the focus.
"That's all I can say."
The 32-year-old was talking at the launch of his new Caribbean-style restaurant, Tracks & Records, based near London's Liverpool Street station.
"London has always been a second home for me because this is where I was based when I used to do track and field," he said.
"It's always been a part of me, especially after 2012 and the amount of love I got. This is the perfect place for the first restaurant to be."