Van Persie had a chance to pull one goal back for the second-leg, but fluffed his chance.
Carrick said after the 2-0 defeat: "You can't blame Robin.
"He created chances and normally he'd score but today wasn't to be.
"You're looking for me to blame someone, but as players we're not getting good results. That's the club, that's everyone involved. That's how we're judged and we know that."
He continued: "We've set standards for ourselves as players over the years and this season hasn't gone so well. We are getting shot at and criticised from all angles.
"Everyone is having a bit of a dig and enjoying it. We've got to take it on the chin and bounce back and I'm sure we will."
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