Baseball, by the Rules
A Fly Ball Out
A ball that is hit in the air, and caught by a defender before it touches anything (that is not a fielder), is an out. That's pretty simple, right? Honestly, yes, but we are talking about baseball, so there are still going to be a couple of caveats and technicalities that will occasionally come into play. For more on that, check out the explainer linked in the sidebar.
As long as the catch is secured, the batter is out.