We will "conduct our movement north into the Baltic states", Capeheart said.
USA troops are being deployed in Poland under Operation Atlantic Resolve. About 2,800 military equipments will also be sent to Wroclaw.
The delivery of US Abrams tanks, Paladin artillery, and Bradley fighting vehicles, as well as supporting troops, marks a new phase of Americas continuous presence in Europe, which will now be based on a nine-month rotation.
The forces are expected to eventually fan out across several countries from Bulgaria to Estonia.
Kremlin spokesman Dmitry Peskov said Thursday that the deployment of USA tanks in eastern Europe "threaten our interests, our security".
The 3rd Armored Brigade Combat Team, 4th Infantry Division, from Fort Carson, Colo., has begun moving into Poland as part of the biggest US military deployment in Europe since the end of the Cold War.
Peskov said the number of troops was not "important". So far a thousand have arrived.
But the operation comes a week ahead of the inauguration of US President-elect Donald Trump, who has suggested his Republican administration will seek to ease tensions with the Kremlin. "That's a buildup of military presence and I have nothing to add", he concluded, after being asked whether the new USA deployment presented a real threat or was simply annoying to Russian Federation.
"All recent US presidents have thought there can be a grand bargain with Russian Federation", said Marcin Zaborowski, a senior associate at Visegrad Insight, an analytic journal on Central Europe. "I don't know that I'm going to get along with Vladimir Putin".
Polish Foreign Minister Witold Waszczykowski expressed hope this week that any new effort at reconciliation with Russian Federation "does not happen at our expense".
But Baranowski disagreed. "No matter how we look at it - even with full deployment of forces that was agreed at the (2016) North Atlantic Treaty Organisation summit plus this presence of the armoured brigade combat team - Russian Federation has overwhelming domination when it comes to force ratio" in the region, he said.