Zamora has been linked with bigger clubs ahead of the summer market.
But Cottagers left-back Konchesky said: "If the team continue to do well, Bobby will thrive on that. If he can score more goals then he's got a great chance of going to the World Cup."
The two men go back a long way, to when they both played for the legendary Senrab youth team based in east London which also produced, among others John Terry, Sol Campbell, Lee Bowyer, Ledley King and Jermain Defoe.
Konchesky said: "I used to play left-wing in those days. Bobby was still up top but he was quite small back then, not like he is now. But he worked hard, he's got stronger and stronger, and he's turned out to be a fantastic player."