Saliba was speaking ahead of Sunday's trip to Manchester City.
He said, "Last season we didn't lose against them, so I don't think about revenge, but they won the league last season and the season before. We focus more on ourselves because the Premier League is not just against City, it's against all the teams, so we have to focus on ourselves because there are a lot of games.
"We all want to achieve something. Winning this Premier League is not easy, but when you finish second twice, you want to win. We will give everything, even more than last season, because we don't want to finish second, third or fourth. We want to win this championship and we will give everything. Arteta has been the coach responsible for our constant progression over the last five years, helping us get closer and closer to the top prize every season.
"He is a really good coach and we are so happy to have him here. He helps us grow a lot, especially a player like me. I have learned a lot of things with him and I have become a better player since I worked with him, so we are so happy to have him and I am sure we will win some titles with him."