They have left Arsenal because they want to win things is often what is trotted out when Arsenal’s megastars leave them.
Whilst this might be true, that players want to win, or compete at the highest level, it does not mean that leaving Arsenal guarantees them success.
Since 2019 – when Emmanuel Adebayor made the big money move from Arsenal to Manchester City, many a player has left us to seek trophies. But the reality is, none of them have exactly been a success at the club they joined:
Note: The above is trophies won at the club they left for. I have split the real trophies and the glorified friendlies (Community Shield, Supercopa de España UEFA Super Cup & FIFA World Club Cup)