The Chile star, who impressed at the World Cup, completed his €40 million move from Barcelona on Thursday, becoming the second-most expensive transfer in the history of the club.
|5/6||Alexis Sanchez is 5/6 with bet365 to score over 11.5 goals in 2014/15|
"He is world class and they're the sort of players you want to see at the club. If you're going to push on as a club and really compete for things, you need to sign top players.
"We have done that with him for sure - it is a fantastic addition. Everyone is over the moon that we have signed someone of that calibre.
"He's quick and direct, he can play up front and on the wing, and he is very dynamic. He will definitely fit the Arsenal style of play, and he is very similar to Theo in the sense that he is very quick and tricky.
"If you're world class then you fit into any side and he's definitely in that category."
Arsenal ended their nine-year trophy drought by winning the FA Cup last season and Jenkinson feels the addition of Alexis will only serve to boost their chances of winning more silverware heading into the new term.
"Once you've got one, want to experience it again," he said. "Everyone was over the moon with winning the FA Cup - it was such a big thing for us all.
"Fingers crossed we can compete on all fronts this season. We have the squad and we are signing players like Sanchez, so I don't see why we can't."