The Germany forward, 25, was injured during the club's warm-weather training camp in Dubai.
Altay Bayindir was Manchester United's unlikely hero as the holders held out for over an hour a man down to knock Arsenal out the FA Cup on penalties after a feisty 1-1 draw at the Emirates on Sunday.
"National team coach Julian Nagelsmann has nominated Jonathan Burkardt in Havertz's place. Get well soon Kai," Germany announced on X on Sunday.
Kai Havertz and Bukayo Saka inspired Arsenal's 2-0 success against Paris Saint-Germain on Tuesday as the Gunners secured their first win in the Champions League this season.
Arsenal's dreams of a first Premier League crown in 20 years were dashed as their 2-1 win against Everton was rendered irrelevant by Manchester City's title-clinching victory over West Ham.
Arsenal forward Kai Havertz said he will become the "biggest fan" of north London rivals Tottenham when they host Manchester City on Tuesday as the Gunners hope for a twist in the Premier League title race.
Mikel Arteta believes Arsenal's tense 3-2 win at bitter rivals Tottenham proved they can cope with the pressure of their "beautiful" challenge to win the Premier League.
The 24-year-old German produced two clinical finishes after the break as Arsenal accelerated to a 5-0 victory that sent a powerful message to Liverpool and Manchester City.
Kai Havertz and Ben White scored twice as Arsenal thrashed Chelsea 5-0 on Tuesday to surge ahead in the Premier League title race and ramp up the pressure on Liverpool and Manchester City.
Havertz's second goal for Arsenal was his first in his last 10 appearances, moving his team one point clear of second placed Manchester City
Neither club disclosed a fee but British media said Arsenal were paying Chelsea 65 million pounds or 75 million euros
Ben Chilwell, Kai Havertz and Mateo Kovacic got on the scoresheet as Chelsea continued their upturn in form with a 3-1 win at Leicester City in the Premier League on Saturday.
A first-half goal from Raheem Sterling and a controversial penalty by Kai Havertz overturned a first-leg deficit on Tuesday and propelled Chelsea into the Champions League quarter-finals with a 2-1 aggregate win over Borussia Dortmund.
A second-half goal from Kai Havertz earned nervy Chelsea their first Premier League win of 2023 on Sunday with a 1-0 victory over lively Crystal Palace, easing the pressure on manager Graham Potter after a poor run of form.
Kai Havertz believes Chelsea's 2-0 victory over Bournemouth can spark a winning run in the Premier League after a faltering spell before the World Cup.