casually
She remarked casually that she was leaving her job.

pointedly
lightly, mildly
drily, sarcastically, wryly
ruefully
jokingly
cheerfully
coolly
snidely
famously

be heard to

on, upon
Several people remarked on her outfit.

to
He remarked to Jane that he had not heard from Sally for a long time.

brief, passing
occasional
casual, chance, off-the-cuff, throwaway
prepared (esp. AmE)
He had a set of prepared remarks.

careless, inappropriate
the sad consequences of one careless remark

catty, caustic (esp. AmE), cutting, derogatory, disparaging, insulting, nasty, offensive, pointed, scathing, snide
He made some snide remarks about his opponent's skill.

complimentary, encouraging, kind
innocent
critical
sarcastic
smart (esp. AmE)
There is no room for jokes and smart remarks.

flippant, offhand
a conflict that comes about through someone's offhand remark or careless mistake

controversial
inflammatory, provocative
famous
cryptic
odd, strange
silly, stupid
funny, witty
He's always making witty remarks.

anti-Semitic, homophobic, racist, sexist
Racist or sexist remarks are never acceptable in the workplace.

crude, obscene, rude
defamatory
personal
How dare you make personal remarks!

general
introductory, opening, preliminary
closing, concluding, final
I agreed with most of what he said at the beginning of the speech but not with his closing remarks.

deliver (esp. AmE), give (esp. AmE), make, offer (esp. AmE), pass, utter
The Pope delivered his remarks before boarding his plane.
I gave my remarks at the benefit.
She made a disparaging remark about men.
Candice would have liked to offer a smart remark at that moment.

withdraw (esp. BrE)
He was expelled from the party for failing to withdraw his controversial remarks.

address, direct
Who were those rude remarks addressed to?

add
She was just about to add some sarcastic remark when her phone rang.

preface
I must preface my remarks with a confession.

begin
He began his remarks with a prayer.

conclude
The President concluded his remarks by thanking everyone who had helped.

clarify
hear, read
interpret, take
Please don't interpret my remarks as support for the current system.
The White House said it took such remarks very seriously.

ignore, take no notice of
I just ignored her last remark.

apply to sb/sth
These remarks apply equally to doctors.

be directed at/to sb
The remark was directed at him.

suggest sth
Her remarks suggest that the negotiations may be successful.

reflect sth
The General's remarks do not reflect the view of the government.

provoke sth
The remark provoked an angry response from the crowd.

in a/the remark
He made a few factual errors in his remarks on Rembrandt.

remark about, remark concerning, remark on
I shall keep my remarks on the subject brief.

remark by, remark from
remarks by officials

remark to
a casual remark to his father