Pendleton is expected to retire from cycling following her silver medal in the women's sprint on Tuesday.
"I am definitely up for stepping into Victoria Pendleton's shoes," Trott, 20, told BBC Sport.
"I don't want to step into Vicky's place just yet, she hasn't retired yet, but I am definitely up for it.
"Vicky is awesome and she is my idol. She has been there throughout my childhood and I want to follow in her footsteps."