Arsène Wenger has spoken about the importance of building a team around his British stars - a sentiment which Jenkinson agrees with.
"I've seen what the boss has said himself [about a British core]," the defender told Arsenal.com.
"I think he said that signing young British players will [be beneficial because] they are more likely to be committed to the Club and stay at the Club for a long time. I think he's right in that thinking.
"I think that there are good young players coming through at the moment. The boss has no commitment to sign players from anywhere.
"From my point of view, I think it's good to have an English core. We're an English club and with English players and an English squad, the fans can relate to that. Arsenal Football Club are going to sign players that are the best and I don't think it will really matter where they're from."