import java.awt.Component;
import java.awt.event.*;
import javax.swing.*;

public class ShowButton {
    static JButton button;

    public static void main (String [] args)
    {
        JFrame frame = new JFrame();
        frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        frame.setSize(400, 400);
        frame.setVisible(true);

        final JPanel panel = new JPanel();
        panel.addMouseListener(new HighlightJPanels());
        panel.setOpaque(false);
        panel.setVisible(true);
        frame.add(panel);

        button = new JButton("Button");

        button.addMouseListener(new MouseAdapter() {
            public void mouseClicked(MouseEvent e) {
                redispatchToParent(e);
            }

            public void mousePressed(MouseEvent e) {
                redispatchToParent(e);
            }

            public void mouseReleased(MouseEvent e) {
                redispatchToParent(e);
            }

            public void mouseEntered(MouseEvent e) {
                redispatchToParent(e);
            }

            public void mouseExited(MouseEvent e) {
                redispatchToParent(e);
            }

            public void mouseWheelMoved(MouseWheelEvent e){
                redispatchToParent(e);
            }

            public void mouseDragged(MouseEvent e){
                redispatchToParent(e);
            }

            public void mouseMoved(MouseEvent e) {
                redispatchToParent(e);
            }

            private void redispatchToParent(MouseEvent e){
                Component source = (Component) e.getSource();
                MouseEvent parentEvent = SwingUtilities.convertMouseEvent(source, e, source.getParent());
                source.getParent().dispatchEvent(parentEvent);
            }

        });

        button.addActionListener(new ActionListener() {
            public void actionPerformed(ActionEvent e)
            {
                System.out.println("Yay you clicked the button");
            }
        });
        panel.add(button);
    }

    public static class HighlightJPanels extends MouseAdapter {
        public void mouseEntered(MouseEvent e)
        {
            button.setVisible(true);
        }

        public void mouseExited(MouseEvent e)
        {
            button.setVisible(false);
        }

    }
}