The 19-year-old became the latest Southampton academy product to swap the south coast for north London when he completed a £16 million switch on Monday, becoming the Gunners' fourth summer signing.
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"It has been a bit of a whirlwind for me," Chambers told Arsenal's official website. "I have managed to keep my feet on the ground and worked hard but it has been quite a mad eight months!
"From Under-21s to first-team football is such a big step. I think it is more mentally than physically challenging, and over the Christmas period as well it is very tough.
"I loved [my first season]. Every experience I got was such a good feeling to go out there and play against players of such quality. I just want to keep doing it more and more."
Arsene Wenger has previously praised his latest recruit’s versatility, being able to play across the back-line and in central midfield, and Chambers says he is still adapting after playing much of his youth in midfield.
"I was a midfielder about a year and a half ago for [Southampton] under-21s," he continued. "I saw an opportunity in the first team at right back and thought that for my progress it would be best to move there.
"I used everything I learnt in midfield like first touch, scanning and all that and brought it into [playing as a] right back. I learnt how to play there with the under-21s and went through each game afterwards with the coaches and worked on little bits and it just went from there."