The easiest way is create 2 custom capabilities and assign both to administrators, one to role coach and one to role player.
When you create your roles you do something like this:
$coach_caps = array(
'read' => true,
'something_else' => true,
'can_open_coach_menu' => TRUE // this is important for your scope
);
add_role( 'coach', 'Coach', $coach_caps );
$player_caps = array(
'read' => true,
'something' => true,
'can_open_player_menu' => TRUE // this is important for your scope
);
add_role( 'player', 'Player', $player_caps );
Then assign both capabilities to the administrator role:
$roles = new WP_Roles();
$roles->add_cap( 'administrator', 'can_open_coach_menu', TRUE);
$roles->add_cap( 'administrator', 'can_open_player_menu', TRUE);
Now when you add submenu pages:
// this is for administrator and coach roles
add_submenu_page( $parent, $p_title, $m_title, 'can_open_coach_menu', 'submenu1');
// this is for administrator and player roles
add_submenu_page( $parent, $p_title, $m_title, 'can_open_player_menu', 'submenu2');