Cross progression isn’t coming to Apex Legends until sometime next year.
Ryan K. Rigney of Apex Legends confirmed this in a question session on Reddit. Someone asked when to expect the promised cross-progression, which is why Rigney replied: “Next year. Cross-progression is a tough problem to solve. Not only do you have the technical challenge of merging existing accounts, but also the legal and contractual aspects of purchasing on other platforms to navigate. Different regions have different laws. It sucks. But we are working on it and want to start delivering.”
Cross progression basically means that players can take their unlocked (cosmetic) items and level progression to Apex Legends on another system. Respawn previously promised to add cross-progression, but as can be seen from the answer above, it still has some tinkering.
In the AMA gives Respawn also admits that Seer, the new character in the game that launched last week with the new season of Emergence, might be a little too strong. The developer also indicated that a future patch should balance this a little better.