Although the squirrels in that park were introduced by humans, it should be noted (as mentioned in the article you cite) that those squirrels, Eastern Grays, are native to that area. They just were no longer in that
particular place because we destroyed their habitat to make room for our cities there.
So in a sense introducing them to parks in those cities was just putting back what we had driven off.
It's interesting that the Eastern Gray squirrel was also introduced to parks in Seattle. The Eastern Gray is not native out here. The native squirrels out here are the Western Gray, the Douglas, the Red, and the Northern Flying squirrels.
That raises the question of why when they decided they wanted squirrels in the parks that they went to the trouble of importing Eastern Grays from the other side of the country, instead of just sending someone out to trap a few Western Grays and release them in the parks.
It turns out that the reason is that a lot of the parks feature non-native trees. Western Grays really want to live off of native trees, and so don't do well in those parks. Eastern Grays either are native to the same places the non-native trees are native to, or are happy with them anyway, so they do fine in Washington parks, regardless of whether or not those parks feature native plants or non-native plants.
That also means the Eastern Grays did fine when they left the parks, and they have pretty much completely replaced the Western Gray. There's now only three isolated populations in the state, where once they were widespread and common.