Vichai Srivaddhanaprabha and four others were killed when the Thailand native's helicopter crashed following Leicester's clash against West Ham.
"I hadn't been here long, we were doing a photo shoot when the chairman arrived, gave me a big hug and said, 'My new No 10... go and score goals for me James!'" Maddison said.
"I thought right away, 'I like this guy!' Whether you had known him for four or five months or 10 years, once you'd met Vichai you knew the person he was. He was such a brilliant man.
"Every time I go out on the pitch now I know - like the rest of the lads - I'll do everything in my power to make him proud.
"We are going to keep going and make the things he wanted to happen, happen."