The phrase "asserted that like" is not correct and usable in written English as it lacks clarity and proper context.
It may be used in informal speech but is not appropriate for formal writing or clear communication.
Example: "He asserted that like many others, he believed in the importance of education."
Alternatives: "claimed that similar to" or "stated that akin to".
Nagel asserts that, like values, morality, and even the origin of life itself, conscious resists mechanistic, part-to-whole, atomistic explanation.
For example, in addition to the reasons stated above, the respondent asserts that, like any business, an investor-owned utility has an interest in protecting its market.
They assert that like a corporation head or a police commander, the Chancellor and his superintendents should have the power to demote or dismiss bad principals and to reassign star principals to schools where they can do the most good.
Elwood and Patashik (1993) add another dimension when they blithely asserted that waste, like beauty, is in the eye of the beholder.
And the future attorney general's legal style meshed perfectly with the needs of his boss: while Mr. Bush has famously asserted that he likes summaries and "won't read treatises," Mr. Gonzales specialized in the art of redaction, "that pursuit of boiled-down solutions and answers for a client".
Essentialists and Emergentists alike have often, purely on the basis of intuition, asserted that sentences like John gave Mary a kiss are grammatical but sentences like John gave a kiss to Mary are not.
Nearly everything that Reeve read asserted that patients like him could not improve.
At the most divisive, the former Republican presidential candidate Mike Huckabee asserted that violence like the Newtown shootings occurs because "we've systematically removed God from our schools".
Rather than argue with him on details, one finance minister simply asserted that looking like an idiot was standard procedure for ministers.
Around the same time, the European Court asserted that footballers, like other workers, were free to move anywhere at the end of their contracts, without their old employers demanding a transfer fee.
