After being allowed to clear his head following the death of his agent, Anelka was back with the club on Wednesday before resuming training 24 hours later, and is now in line to figure for the Baggies in Sunday's game against Swansea at The Hawthorns.
Assessing the situation, Clarke said: "I don't think he ever said to anybody he might quit because all the conversations he had were private and in house.
"All I said last week was the quit word did come up in conversation. He was in a really bad place.
"But we did what any club would do - we gave him time to go away and reflect on things.
"He came in yesterday and told me he was really looking forward to the rest of the season and to helping West Bromwich Albion build on last season. For me, it was great news."
Clarke insists there are no problems with the 34-year-old Anelka's mental state, adding: "He is good.
"He explained to me the circumstances around his state of mind last week, and they were all good reasons, and now he is fine.
"He trained this morning, he trained very well, and I've no qualms whatsoever about playing him on Sunday. I need all the good players I can get."
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