I'm unsure what you mean by "removing" from an array: you simply can't do that, at best you can set to null the cell content or somehow marked it as invalid/free.
If your array is sorted by id, you can binary search the ids that you want to "remove" to have a better performance: supposing that N is the size of the collection and M of the removal collection, then normal iteration is O(n*m), while by binary searching you get down to O(log(n)*m)
In general, even if you had a library, it would do exactly this with those data structures, just behind the scene.
As others have pointed out, if you need to support deletion it's best to use different structures: given you have ID's it suggests that your items are unique, so a Set could be ideal, otherwise a List should do, or a Map Obj -> Int to implement a multi-set.
Supposing you can change your code to use more ideal structures, you could do something like (Java8):
Set<Track> tracks;
Set<String> idsToRemove;
//Note: this has O(n*m) performance, though you could try using .parallelstream() instead of .stream()
Set<Track> remainingOnes = tracks.stream().filter(x -> !idsToRemove.contains(x.id)).collect(Collectors.toSet());