The performer, who has appeared on every series of Strictly, already has experience having previously appeared as a judge on the New Zealand version of the show, Dancing with the Stars.
Speaking to ITV news, Brendan admitted: "I'd like to think that the BBC would at least consider me for the role.
"I've put my hat in the ring. I make no bones about it. But whoever they choose will be the right decision for the show."
As yet the BBC has not confirmed any news about Len's replacement, but Strictly host Tess Daly spilled we should know by the Spring.
Speaking at the National Television Awards, Tess said: "We don't know [who it is] - it's still under discussion."
She added: "I'd imagine we'll know by April."
As well as Brendan, other pros Anton Du Beke and Karen Hardy have been rumoured for the role.
"I say girl power, we all love girl power. It would be great to balance the panel out with another strong woman," Karen said recently.
The It Takes Two regular added: “But for now it’s all closed doors, it’s completely in the hands of the execs at the moment.
“I just hope a lucky star will shine down on me as I would love to do it – it would be an absolute honour to stay part of a show I’m so passionate about.”
Strictly Come Dancing will be back on TV in the autumn.