He called for "the immediate release of all my colleagues in Spanish prisons".
Spain's Prime Minister Mariano Rajoy says his government respects the decision of a German court to refuse to extradite the fugitive former leader of Catalonia on rebellion charges.
Puigdemont also thanked the German authorities for "their professionality and for their respect", and thanked his fellow inmates for "their solidarity and help for me to adapt quickly to the situation".
Former Catalan leader Carles Puigdemont has made a renewed call for Spanish authorities to open negotiations over the region's secession bid.
The Schleswig prosecutor's office said Puigdemont was given an address in Germany, where he will reside until judges decide on Spain's extradition request.
"This opens a new opportunity of dialogue".
At a press conference, a German government spokeswoman reiterated Berlin's position that it will not interfere in the judicial process, saying: "The proceedings are in the judiciary's hands".
"My plan is to remain of course in Berlin. It is my residence now until the end of this process", he said.
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Puigdemont can still be extradited on the less serious charge of misuse of funds to hold Catalonia's banned independence referendum previous year.
Puigdemont was detained by police in northern Germany on March 25 after crossing the border from Denmark. He was trying to drive from Finland to Belgium, where he had been living since fleeing to escape arrest in Spain.
Spain's Supreme Court has charged 14 Catalan separatists, including Puigdemont, with rebellion, which carries a sentence of up to 30 years.
The German court decided the charge of rebellion did not warrant extradition, because the accusation isn't punishable under German law.
He also said that Spain must "comply with United Nations resolutions" and release political prisoners, alluding to several Catalan separatist politicians who were imprisoned after unilaterally declaring Catalonia's independence from Spain a year ago.
Puigdemont's lawyer, Wolfgang Schomburg, said he was confident of convincing the court not to allow his client's extradition on the misuse of funds charges.
The German court's decision to release Puigdemont on bail is a setback for the Spanish judiciary's efforts to crack down on the separatist movement.
She stated that if Spain couldn't prove the allegations of misuse of public funds, "afterward Puigdemont would be a free man in a absolutely free country - notably in Germany".