They were happy enough to sign the Antarctic Treaty during the cold war, so why not? I understand this is the longest standing and most successful treaty in history.
The Antarctic Treaty was signed in Washington on 1 December 1959 by twelve nations: Argentina, Australia, Belgium, Chile, France, Japan, New Zealand, Norway, South Africa, United Kingdom, United States and USSR
The Russians had a spy in Goddard's office and up until a certain point he actually collaborated with the Germans who later developed the V2. The same year as that treaty American engineers broke into an exposition and stole a Russian satellite and took the whole thing apart rebuilt it and returned it in one night.
That's not working together! ;)
https://www.ripleys.com/weird-news/satellite-hijack/