The 21-year-old needs to play regularly at this stage of his career, and he is not a starter for the Gunners.
Nelson has a contract with the London club until 2023, and it will be interesting to see if the Gunners decide to loan him out this summer.
The player has now fuelled further speculations surrounding his future by liking a post on Instagram from a Brighton fan page suggesting that he could be on his way to the club this summer.
Graham Potter is an excellent manager who has done a remarkable job with Brighton over the past year, and working with him could help Nelson develop as a player.
Brighton could use more depth in the midfield next season, and the Arsenal youngster could prove to be a valuable addition to their squad.
There is no doubt that Nelson has the potential to develop into a first-team player for Arsenal, but he will need to go out and play regularly to fulfil his potential.