Addressing the Federal Assembly, Putin said "the meaning and content" of Russia's policy in the worldwide arena is "to ensure peace and security for the well-being of our citizens, for the stable development of the country".
"This is super disrespectful to people who came to fulfill their human duty, a medical duty to help a patient", Vasilyeva said. "We call on them to allow him access to necessary medical care immediately in response to disturbing reports his health is deteriorating".
An officer walks outside the IK-3 penal colony, which houses a hospital where jailed Kremlin critic Alexey Navalny was reportedly transferred, in Vladimir, Russia, on April 20, 2021.
They were denied entry after waiting for hours outside the gates.
Navalny is serving a two-and-a-half-year sentence for violating parole terms on old fraud charges he says are politically motivated.
Police yanked Navalny ally Lyubov Sobol out of a taxi near Navalny's main offices in Moscow on Wednesday and detained her, Sobol's lawyer said.
Most recently, he was moved to a prison hospital as his condition deteriorated amid his hunger strike, according to the Associated Press.
The Kremlin has dismissed the outcry, saying that Russian convicts do not concern Western countries.
Navalny was detained when he returned to Russian Federation in January after months recovering in Germany from a near-fatal nerve agent poisoning he blames on the Kremlin - an accusation it rejects.
Putin backed claims by Belarusian President Alexander Lukashenko that his security services had thwarted an alleged USA plot to assassinate him, suggesting senior U.S. officials were involved in a "coup attempt" and accusing the West of pretending "that nothing is happening".
The European Union and the United States have imposed sanctions on Russian Federation over the poisoning, and on Monday threatened Moscow with further penalties in the event of Navalny's death.
Navalny went on a hunger strike over what he said was the refusal of the prison holding him to provide him with proper treatment for leg and back pain.
But another of his doctors, Dr Yaroslav Ashikhmin, said over the weekend that test results provided by his family show Navalny has sharply elevated levels of potassium, which can bring on cardiac arrest, as well as heightened creatinine levels that indicate impaired kidney function.
Russian prison authorities insist that Navalny's condition is satisfactory and that he is receiving adequate medical care.
President Vladimir Putin will deliver a state-of-the-nation speech to Russians on Wednesday.
The anti-corruption campaigner's allies, who routinely face police searches and arrests for their activism, are facing increasing pressure from the authorities ahead of the rallies.
On the eve of the protests, monitoring group OVD-Info reported police raids at Navalny's regional offices in the cities of Krasnodar and Kurgan, and arrests of individual activists in about a dozen cities.