Former France, Cameroon, Morocco, Tunisia and Ivory Coast boss Henri Michel stepped down from the post after just three months in charge over issues surrounding his contract.
Henri’s assistant, James Nandwa, was named as his temporary replacement until a suitable candidate could be found.
And Siasia, who has a significant amount of experience at international level, is hopeful of an invitation to apply for the vancancy.
Siasia has previously been assistant to the Super Eagles before being appointed coach of the Nigeria U-20 team in 2004.
But he was sacked from his position after failing to guide Nigeria to AFCON 2012, having been appointed in 2010.
He told SuperSport: “Managing the Kenyan national team would be an exciting opportunity for me.
“They have such enormous talent, with players in the local leagues and in Europe. It would not take so long before they become a formidable force in football.”