I have been taught that parler à someone is an exception on word order and it is correct to say Je parle à lui. This is stated as incorrect in yours

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I have only ever heard: je lui parle.
But, of course, it is je pense à toi and never je te pense.

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My current French teacher agrees with Ann, that with parler à  it is always je parle à toi; je parle à lui; je parle à nous, etc.  Is this an example of something that will disappear over time and that popular usage will do away with?  (je te parle, le lui parle, etc)

Answer

My current French teacher agrees with Ann, that with parler à  it is always je parle à toi; je parle à lui; je parle à nous, etc.  Is this an example of something that will disappear over time and that popular usage will do away with?  (je te parle, le lui parle, etc)