LOS ANGELES — For Gerrit Cole, the road to 2,000 strikeouts spanned pitching for three different teams, throwing to 17 different catchers and punching out 660 different batters.

And while hitting the milestone last week allowed Cole to reflect on his first 2,000, he also made it clear he aspires for more — and not just joining the exclusive 3,000-strikeout club.

“I feel pretty proud of it, but I’m not necessarily satisfied with where it is,” Cole said this week in the visiting dugout at T-Mobile Park in Seattle.

“I hope to get to 4,000,” he later added.