Batshuayi is understood to be part of a potential combination of transfers that could see him join Dortmund as Aubameyang's replacement, after Arsenal confirmed they had completed a club-record move for the Gabon worldwide.
Giroud has been heavily linked with a move across London in the hopes of gaining more playing time ahead of the 2018 World Cup this summer.
Borussia Dortmund haveagreed a deal to sign Chelsea forward Michy Batshuayi on loan for the rest of the season, subject to a medical.
The playmaker has made 21 appearances this term, scoring four goals and recording six assists, and his new deal commits him to the Premier League club until he is 32. "He has not played many games in the Premier League since the start of the season and he is a regular player in the French national team", added the Frenchman.
With Giroud only featuring sporadically for Arsene Wenger, Henry finds no fault in his compatriot's decision to go to Chelsea. Arsenal, however, are demanding more than €30m for Giroud, 31, because they are reluctant to sell to a direct rival.