The 23-year-old led Britain's men's team in their final two matches before the EuroBasket against Spain, head coach Joe Prunty's troops going down 80-67 and then 100-46.
Britain have been drawn against Israel, France, Ukraine, Germany and Belgium in Group A with the first stage of the EuroBasket encompassing five games in six days.
First up are Israel and Lawrence, who won a place on the summer league roster of NBA outfit Washington Wizards and returned from injury against Spain, is relishing the challenge ahead.
"I couldn't ask for any more. That challenge is why you come into basketball. I want that responsibility," said Lawrence, who plays point guard.
"I want to play at the highest level. Having a team on my back is the perfect challenge to show what I can do.
"We're still pretty confident. We're a tight unit. Going to EuroBasket, we're 0-0. We'll have five games and see how we go.
"It's tough when you get injured but I have a lot of trust in my teammates and they've done well in this preparation period. I'm really proud of the guys."