Mr Putin spoke a day after Russian arms dealer Viktor Bout was swapped for basketball star and two-time Olympian Olympian Griner.
Brittney Asked whether other prisoners could be swapped, Mr Putin replied that "everything is possible", noting that "compromises have been found" to clear Thursday's exchange of Griner for Bout.
"We aren't refusing to continue this work in the future," he added.
Despite negotiating the swap for Griner, the most high-profile American jailed abroad, the US failed to win freedom for another American, Paul Whelan.
Whelan, a Michigan corporate security executive, has been imprisoned in Russia since December 2018 on espionage charges that his family and the US government have said are baseless.
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URBAN EXPLORERS UNCOVER THE HISTORY INSIDE SOME OF THE CITY'S SPECTACULAR HIDDEN SEWERS AND DRAINS
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LUXURY 'PARTY FLAT' IS HALTED
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CITY VENUE HAS INSPIRED AND TOUCHED GENERATIONS