Newcastle legend Shearer uses the examples of former Manchester United star Beckham and ex-Nottingham Forest and West Ham ace Pearce to inspire Bassett.
The Notts County defender has been making the headlines over the past couple of days for scoring an own goal for England against Japan in the Women’s World Cup in Canada.
The Lionesses lost their semi-final clash against Japan 2-1, with the 31-year-old Bassett scoring an own goal right at the end.
Following the narrow defeat, the former Leeds United Ladies defender told Football365.com that she wished no one knew her name.
“To be honest I’d prefer no one to know Laura Bassett’s name,” Bassett told Football365.com.
“I’d prefer everyone to know Mark Sampson and Steph Houghton’s name and they be lifting that trophy.”
Former Newcastle striker Shearer has taken to Twitter to comment on Bassett's remarks, urging her to forget about the World Cup and focus on the future.
Former Nottingham Forest, Newcastle and West Ham United defender Pearce missed a penalty during the shootout between England and West Germany in the semi-finals of the 1990 World Cup.
Former Manchester United star Beckham’s 1998 World Cup finals ended in agony, as he was sent off against Argentina during the last-16 tie for kicking Diego Simeone.