Liverpool put nine unanswered goals past the newly promoted side on Saturday to record their first win of the season.
Bournemouth started the season in impressive fashion, beating Aston Villa 2-0 on the opening weekend but have since been served a stark reality of what it takes to dine with the big boys.
In addition to Saturday's thumping, they also lost 4-0 to Manchester City and 3-0 to Arsenal in their previous games.
Bournemouth have now conceded 16 goals in their four games, more than the number of goals Chelsea's 2004/2005 title winning side shipped that season.
Parker admits his men were simply not up to the task at hand with the difference in quality clear for all to see.
"I think the bottom line is we were in the arena with massive quality," he explained to Sky Sports. "At this present moment in time, we're probably not equipped to handle where it currently is really.
"So, I'm hugely disappointed, one, because of the result, of course.
"I'm disappointed for the travelling fans, and I'm also bitterly disappointed for the players as well really. It doesn't surprise me, and I probably sensed this.
"Yeah, this is probably where it is at this present moment in time, in terms of the players and everyone needs a little bit of help.
"Today just proved too big a challenge. The levels were far too big, and the quality was there for everyone to see, really.
"A clinical team, and we couldn't bear that, at times the intensity of the stadium as well.
"We've got a decision to make, really – I think that's where it is as a football club. We've got a decision to make. We need to get competitive in this division, really, because there will be days like this."
