You could still run autorun if you wanted. The parallel process would work if you want it to happen before the map loads though. Basically, you can use Change Actor Graphic to [none] or use a Move Route on the player and change the opacity to 0. Either way, the player will be invisible. If you want the player to be seen again, just do the opposite of what I said.
If for some reason you cannot get the player to be invisible before the map loads and it shows the player for an instant then he disappears, you can make 2 dummy events somewhere on the map. Make the graphic of the event the same as the map tiles that the events sit on. Set those two events to ABOVE, or Above Character, I forget what it's called exactly. But have the player transfered under those two tiles. That way when the map loads, the two event tiles will be above the player covering him from your vision.
When I say set up two tiles like that I mean place one event someplace and then place the other event one tile up from it and teleport the player to the bottom event. (You need two because if you only have 1, the player's character will show a pixel or two across the top edge of the one event.)
You only need to do that two event thing if you're having an issue with the player being on screen before disappearing after the map loads.