If you have your iCal Calendar URL link (you have access to it on the Availability marking page or request it from the coach) you only have to open your favorite Calendar App and subscribe to that link. Subscribing to a calendar ensures, that your training schedule is automatically synced.
Coaches/admins - you can share the links from Calendar -> Availability -> Share links. Note that each player has a unique link to their personal calendar.
Here are some links that you can click on, which show you how to subscribe to an iCal Calendar in the most popular Calendar Apps:
NB! The sync cycle depends on your calendar app, which may vary from a couple of hours up or sometimes longer. After an event in Sportlyzer is changed you still have to wait till your calendar app syncs with Sportlyzer to see the change yourself.