St Mirren chose not to renew his contract at the end of last season despite the 45-year-old delivering the Scottish League Cup to Paisley just 12 months earlier.
Lennon, who previously had a two-year spell in charge of Cowdenbeath, was linked with the vacancy at Hibernian before former Celtic defender Alan Stubbs was installed as Terry Butcher's successor.
Speaking to Sky Sports News he said: "Unfotunately, in this game people have got to come out of a job before one becomes available.
"They always say that October to December is the time of the season that that happens so I think it is very important that, with the passion I have for the game, that from now until an opportunity arises I keep myself active.
"I have to go out and do personal development, and see what new trends are out there and make sure I keep up to date with them.
"Right now I have the opportunity to do those things, going abroad etc, that perhaps I wouldn't have been able to do if I was still in a job. This is an opportunity for me to make sure I use this time worthwhile."