The four-time champion Vettel will end his F1 driving career at the end of the current season and will be replaced by Alpine's Fernando Alonso.
With six races of the season in his career remaining, Vettel plans to keep trying to win every race, according to Krack.
"He is a professional and he will give everything until the last moment," Krack said.
"The first thing that he said when he informed us that he would stop was that he will give it everything until the end."
Krack was then asked if Alpine had any intention of keeping Vettel on in the form of an ambassadorial role, to which he replied: "It's very interesting.
"We have not spoken about it, to be honest," Krack confirmed.
"He needs to make plans and I think probably before he does something else, he will want to have a bit of time off."
Despite signing for Aston Martin, Alonso will be at Alpine for three more months to fulfil his duties, and Krack admitted there were things that still had to be ironed out, adding: "We need to clarify what we can do and what we cannot do.
"He is an Alpine driver and we are Aston Martin and the contract starts at the beginning of next year.
"So, anything between, that is not possible."