Head of Roscosmos Dmitry Rogozin, a firebrand nationalist politician known for his anti-Western rhetoric, was set to visit the US in February.
His agency reacted furiously last week after NASA said it was postponing the visit indefinitely.
"We are also interested in working with the Americans, although we would like to see in them a predictable partner," he said, saying the current situation "leaves a bad aftertaste".
NASA is one of the government agencies affected by the partial government shutdown forced by Trump's refusal to sign off on a Congress-approved spending bill that does not include his $5.6 billion request to build a giant wall on the US-Mexican border.
Most NASA workers are among the 800,000 government employees left without pay in the process, as 96 per cent of the agency's staff are considered non-essential.
Government-employed scientists, including from NASA, cannot even attend major conferences such as this week's American Astronomical Society's meeting, an AAS spokesman told AFP.
The delayed visit risked becoming another diplomatic row with Russia after Roscosmos demanded an explanation at the weekend.
Some US lawmakers spoke out against inviting the Russian space chief, who is formally on a US blacklist.
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