The millionaire businessman, 73, this week spoke of his intention to sell the club rather than hand down to his family when he decides to retire.
Whelan has overseen the rise of Athletic from the fourth tier to the Barclays Premier League during his time in charge.
But he has no intention of stepping aside just yet and Martinez is looking forward to continuing their partnership.
Martinez, 37, said: "We always have that short-term plan and long-term ambition. It is important to bring that stability to the football. We always work with those things in mind.
"We have reduced the wage bill this season and we want to be in a very strong position. Every year we are in a healthier way - we develop our squad and improve our aims. That is always the case."
Source: PA
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Source: PA