The suspects were said to have been involved in smuggling people across the English Channel.
Until this new role, Mr Chukkol was the director of operations of the commission.
Hundreds of German police carried out multiple raids early on Tuesday as part of an international operation targeting people-smuggling gangs.
The agency will be able to impose financial sanctions on its own in case of violations of EU rules.
According to the report, the gangs and networks are organised like business enterprises, with different management levels.