The company plans to move its staff of about 50 people to Dubai, London and Singapore.
The staff includes a team handling commercial activities, Cinco Dias said.
The operations were originally part of liquefied natural gas (LNG) company Pavilion Energy, which Shell bought from Singapore's investment fund Temasek in June last year.
A spokesperson for Shell in Spain said the country remained an important gas and electricity market for the company.
"We'll continue to meet our Spanish customers' energy needs in the long term, also through Spain-based teams," the spokesperson added.
