Utilize your financial knowledge, give your answer or opinion to the input question or subject . Answer format is not limited.

Is there an academic framework for deciding when to sell in-the-money call options?
If any academic framework worked, your teachers would be the richest people on the planet. However, you must read up on macro and micro economic factors and make an educated guess where the market(or stock) would be at the date of expiry. Subtract the Strike Price from your determined price and calculate your potential profit. Then, if you are getting paid more or less the same thing as of today, sell it and switch to a safer investment till expiry (For example:- Your potential profit was $10, but you are getting $9 as of today, you can sell it and earn interest(Safer investment) for the remaining time.) Its just like buying and selling stocks. You must set a target and must have a stop loss. Sell when you reach that target, and exit if you hit the stop loss. If you have none of these, you will always be confused(Personal experience).