Jorginho had the chance to make it a nervy final few minutes for Arsenal, but the Chelsea substitute could not fire home a late penalty.
Borussia Dortmund forward Erling Haaland reportedly tops Chelsea's transfer wish list.
Jorginho's penalty and a late strike from Domenico Berardi secured a 2-0 victory over Poland in the Nations League.
Hakim Ziyech marked his full debut for Chelsea with a goal and Frank Lampard has described the winger as an "immense" player.
Chelsea picked up a first win in four matches with a 4-0 victory away at Krasnodar in Wednesday's Champions League match.
Real Madrid could reportedly turn to Borussia Dortmund star Erling Haaland to bolster their attack.
Everton maintained their 100 per cent record, while Ben Chilwell followed in the footsteps of Deco and Alvaro Morata for Chelsea.
Ben Chilwell marked his 100th Premier League game - and first for Chelsea - with a goal and an assist in a 4-0 win over Crystal Palace.
Chelsea began the new Premier League season with a 3-1 win at Brighton and Hove Albion, with Timo Werner key to the first goal.
Roberto Mancini has named an extended 37-man Italy squad, but Jorginho and Sandro Tonali must undergo coronavirus tests before joining up.