Officials have said Russia is running low on missiles, equipment and drones more than nine months into Putin's war in Ukraine.
Sergey Surovikin, head of Russia's forces, said troops would be retreating to "preserve the lives of our soldiers and the combat capability of the troop group."
The Institute for the Study of War highlighted infighting between Russian military leaders and those associated with an influential Russian mercenary group.
Chechen leader Ramzan Kadyrov and "Putin's Chef" Yevgeny Prigozhin appear to be backing each other in vilifying Russian defense minister Sergei Shoigu.
"I'm not guaranteeing you that it's a false-flag operation yet, don't know. But it would be a serious, serious mistake," President Joe Biden said on Tuesday.
Institute for the Study of War said that the move aimed to intimidate NATO and spur Ukrainian concessions.
Russian Defense Minister Sergei Shoigu has come under fire and allegedly sidelined as Vladimir Putin's Ukraine war falters.
Lithuania media said Yelena Kaminskas' residence permit was revoked as her presence in the country may pose a threat to national security.
"Incompetent military leaders" are to blame for the retreat of Russian President Vladimir Putin's troops in Kherson, said Kirill Stremousov.
A U.S. think tank says Vladimir Putin will hold off on firing Defense Minister Sergei Shoigu until he can build support among other military elements.
"Time is ripe to put into practice the experience gained during the annual strategic exercises," said Russian Defense Minister Sergei Shoigu.
"We are not prepared to expose our men - brothers, sons, husbands, fathers and grandfathers - to any moral, ethical or physical danger."
A U.S. think tank assessed this week that the Kremlin was acknowledging Russian defeats in Ukraine to shift blame away from Russian President Vladimir Putin.
Sergei Shoigu was chosen by Putin to be defense minster in 2012, despite having no military background or combat experience.
A Russian propagandist said his country has liberated "around 10 million Ukrainian citizens from Nazi authorities."
Ukraine ridiculed Russia after it claimed the ongoing invasion had been slowed down to avoid civilian casualties.
Russian Defense Minister Sergei Shoigu said preventing casualties is the reason for slowed Russian aggression against Ukrainians.
Russia has said that it destroyed six of the U.S.-supplied HIMARS in Ukraine, despite conflicting accounts from the U.S.
Russian President Vladimir Putin's order came after Moscow claimed a major victory in seizing the Luhansk region in Ukraine's east.
Ukraine's 80th assault brigade said it successfully took on the Pskov-based 76th Guards Air Assault Division, leaving 50 dead.
There has been speculation for years about the authenticity of the Russian leader's purported meet and greets.
Igor Girkin's comment is one of the strongest public attacks on Russia's military leadership from a pro-Kremlin figure to date.
The president told his defense minister Sergei Shoigu it would be "inadvisable" to storm the Azovstal plant in the southern port city.
Video of the Russian defense minister, who had not been seen in public since March 11, has been released by the Kremlin.
There are reports from Russia that one of Vladimir Putin's closest allies has not been seen in public since March 11.
Russian Defense Minister Sergei Shoigu has said that Russia had received 16,000 applications from foreigners wanting to fight alongside Russian forces.
The Russian military has dispatched two of its most advanced aircrafts for military exercises in the Mediterranean Sea.
"We listened to assurances…that they would not invade Ukraine," Defence Secretary Ben Wallace said.