The phrase "I well remember" is correct and usable in written English. You could use it when describing a memory you have. For example, "I well remember the day I graduated college.".
I well remember,.
I well remember the day the first one came to Ottawa.
"I well remember how a sensation of freedom and lightness suddenly came over me," Yeltsin wrote of the event.
I well remember pundits predicting that the impeachment of President Clinton would wipe the Democrats out in 2000.
And I well remember reading my book on perhaps that same quiet porch shown in your photo.
I well remember, View Article By Jelani Cobb By David Remnick By Jia Tolentino By Doreen St. Félix.
I well remember, View Article By Troy Patterson By Phil Klay By John Cassidy By Andy Borowitz.
I love the desktop app, it’s always running on my Mac. Ludwig is the best English buddy, it answers my 100 queries per day and stays cool.
Cristina Valenza
Retail Lead Linguist @ Apple Inc.