The Robins host Blyth Spartans tonight in the National League North Eliminator.
The winner of the game will travel to Chorley on Sunday for the semi-final.
Last season’s Evo-Stik League champions are chasing more success after a great first season back following relegation in 2017.
But Parkinson isn’t happy with positive talk and plaudits - he is after even more silverware.
“I've said to the boys they have massively punched above their weight this season,” he said on the club’s official website.
“They have got themselves into a great position, and while there is going to be a bit of luck along the way it is going to take a fantastic team to stop us. Blyth are going to be really tough opposition, there is no doubt about it.
“So my message to the fans is get off your sofa - anyone who can get there will be increasing our chances of getting through.
“If you know someone who has been an Alty fan in the past, go round their house and get them down to the ground. Do whatever it takes.
“Let's get behind the boys and create an atmosphere that will give everyone a lift. It can be electric at Moss Lane under the lights - let's make sure it is.”