The Cottagers host Tottenham on Thursday night having lost just once in the past eight games.
A new resolve has pushed Fulham to within striking distance of safety, just three points behind Newcastle and Brighton heading into the next round of fixtures.
Parker, though, will not allow any attention to wander to what might transpire elsewhere over their final 12 games.
“Never am I looking at a league table and that will be my stance through to the end of the season,” Parker said.
Nathan Broadhead explains why he opted to join Wigan Athletic after Sunderland interest
Sunderland AFC transfer gossip: Cats agree to sign transfer listed ex-Wigan Athletic defender - reports
Alex Neil explains what happened with Nathan Broadhead, Sunderland, Wigan Athletic and Everton in transfer verdict
Supercomputer predicts Sunderland, Middlesbrough and Sheffield United's final Championship position
'Bottle job move' - Sunderland fans offer opinions on Nathan Broadhead's move to Wigan Athletic
“We got to this point we are now by concentrating on us and what we need to do. Our sole focus is us.
“The energy you lose from worrying about the what-ifs is really negative and it can sink you.
“What if that team do this? What if we do this? If they lose and we draw? In the end you lose sight of what you need to do.
“You lose sight of being bright, of coming with a real attitude to improve and stepping on to the pitch having a real determination about wanting to beat a team, to be better. Anything else for me is a real blur.
“I cant afford to watch a game the night before our game hoping for something to happen or it doesn’t happen, then my performance levels drop as a coach of the team.”
Parker challenged his squad to seize the opportunities ahead over the closing stages of the campaign.
“We are now getting into the last run of games where everyone remembers – this is the moment,” the Fulham boss said.
“The journey this season has been nothing short of brilliant for me, because I have seen the team develop and the players grow, but in this moment now, this is where it is.
“We have got momentum, are in a very good place. We have been through a bumpy road, but have come out.
“What we have done so far to this point will probably be forgotten about at the end – what is important is these next 12 games, that we are ready.”