The club used to advertise a Players' Parade;
Due to changes to the team’s pre-match preparation, the Players’ Parade will now operate after each game. The matchday activity in the Park End car park has been in place for previous seasons, with fans able to meet the squad on their arrival at Goodison Park. Fans are advised that for 2016/17 the Players’ Parade will instead be open after games, starting with Saturday’s Premier League curtain-raiser against Tottenham Hotspur.
Here are two posts from last season - but I can't say if they are still correct.
The players have their own section of the car park behind the Park End. They seem to arrive earlier under Koeman and for a 3 O'clock they're arriving from 11.30 - 12.15 'ish I think mate.
I generally get stuff signed after the game. If you go around to the players car-park about 10 minutes after the whistle, the team comes out in dribs and drabs. From experience the players are normally great re selfies and autographs.