Before Wimbledon, Page had never played at a junior Grand Slam before but he made the most of his wildcard entry by being the last surviving British player before his defeat on Thursday.
“It’s definitely given me some confidence, especially on grass, for next year’s tournaments,” he said.
“My ranking will go to about 150 now [in the world], so it might be enough to get into the US Open, but we’ll see.
“It’s given me a lot of confidence and I know I have the level, so hopefully I can keep it now.
“Playing in Wimbledon is so special and to make it far as well, it feels amazing.
“I was excited to play here and especially now I’ve done well feels really good.
“First match I was a bit nervous to start but definitely getting through that match from 5-1 down in the third set was good, because then I got used to the crowd.
“Having the British support on my side is really good as well.”