Pedro opened the scoring for the home side after just five minutes, with a first-time effort from the edge of the box after a short corner.
Summer signing Zappacosta doubled Chelsea’s lead on the half hour mark with a solo effort as he raced down the right flank, beat a defender and saw his cross-cum-shot fly in.
Chelsea had to settle for a 2-0 lead at the break, but then ran riot with four further goals in the second period.
Cesar Azpilicueta headed home a Cesc Fabregas delivery, before Bakayoko made it four with a deflected effort from close range.
Michy Batshuayi, who was handed a rare start, hit a brace in the final 15 minutes to complete the rout, with a shot from outside the area and then a scrambled finish from Zappacosta’s cross.
Germany coach Joachim Low has claimed that Manuel Neuer's recovery is on schedule and that he is in line to make Germany's World Cup squad.
England manager Gareth Southgate has claimed that the country needs to boot racism out of its own football before criticising World Cup hosts Russia.