Switching JPanels Help

I am trying to write a game and have multiple states. The JFrame is in the overall state controller and all the panels that should appear exist in classes that will be called depending on the current state. I am wondering if it is possible to pass the class that contains the JFrame into the constructor of other classes so the other classes can place the correct panel.

My GSC is the class that starts the JFrame. I have a LSC that is a State Controller class (it calls the correct method depending on which state it is in) and this class calls one of three classes to get the panel that needs to be displayed. I have the GSC passed to the LSC and stored there. Is it correct to call GSC.add(<panel>, <placement>

inside the LSC to place the panel on the JFrame? If I need to post some code I can. Please let me know any information you may have.