Wimbledon released the American goalkeeper this summer, and he played for Orient in the 1-0 friendly win over Bath on Sunday.
A number of teams - many of whom are much bigger clubs than the O's - are thought to be chasing the ex-West Ham custodian, so any chance of a move to Brisbane Road would hinge on whether or not he'd get the number 1 shirt.
Feuer said: "If a Premiership club came in and said they wanted me to understudy their top guy that would be different, but anywhere below that I want to start.
"Paul Brush has told me there is a spot there if I want it and I'm enjoying my time here, but I will know better by the end of the week."