The 32-year-old said early on transfer deadline day that he would "not exclude anything" after beginning the 2014-15 season on the substitutes' bench.
However, he then later took to Twitter to confirm he was still a Chelsea player and that "nothing had changed."
Thibaut Courtois has been selected in goal by manager Jose Mourinho in a situation reminiscent of when Cech was installed as number one ahead of the established Carlo Cudicini after his signing from Rennes in June 2004.
Speaking in Prague while on national team duty with the Czech Republic ahead of Wednesday's friendly with the United States, he told sport.cz: "I've been at the club for 10 years, the situation is now new to me.
"The three opening matches I could not play for the team. I have no reason to panic, pack up and leave.
"I am a Chelsea player, where I have two more years of contract.
"In football, nothing can be predicted in advance, nothing is ever perfect."
Ashley Cole and Frank Lampard - two other mainstays of the Chelsea side Cech has been part of for 10 years - left the club during the summer, showing Mourinho has little room for sentiment on his second spell as Blues boss.
Fernando Torres' departure to AC Milan for the final two years of his five-and-a-half-year Chelsea contract - in effect ending his time at Stamford Bridge following his £50million move from Liverpool in January 2011 - necessitated the arrival of another striker, but even then Mourinho moved swiftly to sign Remy from QPR for a reported fee of £10.5million.
- Sports & Recreation
- Jose Mourinho
- Thibaut Courtois
- Carlo Cudicini