The striker signed on at Carrow Road last month, with Bournemouth believed to have received around £3m from their Championship rivals.
However, Grabban has insisted that he does not feel any "extra pressure" on his shoulders.
"I don't feel any added pressure. I am there to score goals regardless of which team or how much I cost. I wouldn't say I feel any extra pressure to what I put upon myself anyway, which is to go out and perform and hopefully score goals," the Eastern Daily Press quotes the 26-year-old as saying.
"The price is not down to me. Clubs pay money for players and I can't do anything about the fee, but I don't think its anything to worry about."
Grabban scored 22 goals for Bournemouth last term.