The Everton centre-back started the recent friendly win over Hungary and was again selected in international boss Fabio Capello's first XI for last weeks' Euro 2012 qualifying victory over Bulgaria.
Jagielka, who has been in excellent form for his club at the start of the season, is again expected to start in Switzerland on Tuesday, with Terry and Ferdinand both absent through injury.
And the 28-year-old is hopeful that he will remain at the front of Capello's thoughts when Terry and Ferdinand return to fitness and are again available for selection.
Jagielka said: "It's always hard to displace players like JT (Terry) and Rio. But I would like to think I can.
"If Rio and JT come back fit for the next squad and they are in form and they get picked, they are not bad players to be behind.
"But I'd like to put real pressure on them, that's what it's all about and I'm sure the manager wants that as well.
"The manager has always said he wants to pick form players, so if I can keep playing international football and keep keeping clean sheets then, hopefully, it cranks up the pressure a bit."
Jagielka was a target of Arsenal in the summer and Arsene Wenger is reported to have had two bids rejected by Everton.
The former Sheffield United star is flattered by the interest from one of the Premier League's heavyweight sides, but is concentrating on life at Goodison Park.
Jagielka said: "It's nice, obviously, for a club like Arsenal to be linked with me. But nothing happened. I stayed as an Everton player and I love playing for Everton.
"We have not had the greatest of starts to the season, but I'm sure we'll pick up. It's nice, nice to get two England starts and be linked with one of the big boys."