Reflecting on Saturday's 6-0 humiliation of Manchester City, Grant declared: "What we are doing now will affect Chelsea for many years. And if we are successful in what we are trying to achieve, then Chelsea will take many titles over the years to come."
Grant paid tribute to his players for their effort and put the improvement down to teamwork.
He said: "From day one I have seen the attitude of the players. And what I have asked from the players is that we all become a little bit better.
"They have worked hard at this and made me happy.
"I think about ways to improve the team and a win like this shows we are doing things right."