Capello's England team, still under a cloud after their dismal World Cup display, visit Hitzfeld's goal-shy Switzerland for what is expected to be the most difficult match in their Euro 2012 qualifying campaign.
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Germany's Hitzfeld, winner of an extraordinary seven Bundesliga and two Champions League titles, is under growing pressure over Switzerland's failure to find the net.
Italian Capello, winner of four Serie A, two La Liga and one Champions League title, may take a long time to win back confidence after England's lame display at the World Cup, although their 4-0 win over Bulgaria in their opening Group G match on Friday was a good start.
Both men showed signs of fraying nerves after their team's matches on Friday.
"The way that a few fans treated him was embarrassing," said Hitzfeld, suggesting that Switzerland should avoid playing at St Gallen in the future. "Alexander Frei has given great service to the team."
It turned out to be their only goal at the tournament, a problem throughout Hitzfeld's two years at the helm.
Capello snapped after being asked if he deserved more respect. "Respect is not the right word because 'respect' in Italy means something different. The word 'respect' has a lighter meaning in English," he retorted.
Phil Jagielka, whose pace and movement belie his insistence that he still does not feel worthy of an England shirt, is certain to be one of them with either Gary Cahill, who made his debut off the bench as Dawson's replacement on Friday, Matthew Upson or Joleon Lescott alongside him.
