The Cottagers have picked up only four points from their opening eight matches, and their next run of fixtures as domestic action resumes does not get any easier.
“They (fixtures) don't (get any easier), but this is the division we are in and we all understand that," the Fulham manager said.
“We knew that at the outset and as a team understood the challenge we faced this year.
“The fixtures coming up are big ones, tough ones – but after these five or six, we will go into another five or six and I will get asked the same question and you will get the same answer.
“We are eight games into the season, we have had some real challenges and tough games along the way – and that will be the same story throughout the season.
“I am looking forward to the big challenges in front of us, but as a team we need to rise to that and embrace that."
Parker added: “Since the transfer window shut and players came in, there has been a real understanding on 'this is where we are'.
“We had a quick pre-season and a quick turnaround, hopefully now the players are understanding (our work) a little bit more, understanding the league and what is needed from them."