The Juventus midfielder has revealed that the two London clubs were interested in securing his signature following his acrimonious departure from Manchester United.
The Frenchman refused to sign a new contract with the Red Devils after growing frustrated at a lack of first-team opportunities at Old Trafford and now claims that the possibility of remaining in England arose before he joined up with the Italian champions, for whom he is eager to make an impression.
"There was [interest] this summer with Chelsea and Arsenal, but it was less concrete," he told L'Equipe. "Impatient? Yes I am. When I want something, I'll do anything to get it. Today, I want to win a place in starting team of Juve and be one of the best players in the world.
"I have not gone to Juve because I knew I was going to play in the starting team. I don’t have any guarantees. The coach told me that there are a lot of games and he wanted a replacement for Pirlo and Vidal. He did not say 'you're playing so many games'. I learned from the greatest [players] at Man United and there is only the work left for me to reach my goal."
The 19-year-old also spoke of his initial struggle to adapt to the Italian climate but observed that the work ethic of his new teammates is the same as those at United.
"In Italy, we run a lot and do a lot of tactics. It's hot, which I was not used to in Manchester. It took me some time to adapt," Pogba explained. "The rest is the same. Players, like they are in Manchester are humble. They work. They are really cool. It makes me even more eager to work."