Brown has been out of work since his dismissal by Hull last season.
"I would certainly be interested in the position," he said. "It is a great opportunity for somebody. I am happy to make it public knowledge that I would be happy to speak to them. In the last six or seven months I have been studying Scottish football, as well as that in other countries, from afar. I have been doing a lot of travelling, having a look at different coaching methods in different countries, enjoying my time off.