The phrase "anxious to assert their" is correct and usable in written English.
It can be used when discussing someone's eagerness or desire to express or establish something, often in a context of identity, opinion, or authority.
Example: "The activists were anxious to assert their rights during the rally, demanding attention from the government."
Alternatives: "eager to express their" or "keen to establish their".
Winston Churchill is reputed to have had an anchor tattooed on his arm, and his mother a snake tattoo around her wrist (but concealed by a special bracelet); but for most of the 20th century, the tattoo was mostly the mark of lowlifes, footpads, sentimental matelots, circus sideshow folk, prisoners anxious to assert their identity, and gangsters avid to announce their loyalty.
But, while it is true that their sense of living in an expanding world made them more aware than their predecessors of the unity of mankind and more anxious to assert it, their theory contained no pacts or covenants, only good and useful universal custom, which might be expected to change as nations developed.
Leveson sources were clearly anxious not to get locked into a row with Downing Street, but felt it necessary to assert their role.
Even the appointment of his son as oil minister could not tempt him back.With Shia groups flexing their muscles on the ground, and the interior minister anxious to assert his authority, there are questions on the role of foreign troops, whether they are American or not.
Croce and undoubtedly the political situation in Italy in 1917 played a role in this was anxious to assert the importance of art for humanity, and his assertion of it is full of feeling.
Many urban refugees attempted to assert their claims either through protesting or other collective means.
Men's need to assert their sexuality and manhood is seen as a 'matter of fact'.
And coupled with being more independent and wanting to assert their own ideas.
Tamzin Outhwaite as American Gloria, anxious to assert female power, and Daisy Beaumont as the incandescent Italian Gabriella, more than match her in energetic sexiness.
Even when it comes to resentments around immigration, a nuanced, empathetic understanding should not be beyond anyone's grasp: people can be disorientated by rapid population change and anxious to assert a sense of place without such feelings turning hateful.
Religious credentials bolstered their claim to legitimacy and helped them assert their authority.
