Caulker, who spent last season on loan at Swansea, impressed for Team GB throughout the tournament, which ended with a penalty defeat at the hands of South Korea last night.
Despite their relatively early exit, Caulker hopes to have shown Villas-Boas enough to convince him that he is ready for first team football.
"The Olympics has been the perfect way for me to show the new manager what I can do and to make sure I am not out of sight," Caulker told the Star on Sunday.
"He seems a very interesting guy with lots of great ideas.
"It's a big positive for the club and he seems to put his trust in the young lads."
Spurs will begin their Premier League campaign against Newcastle United on August 18.