Addo feels the Ghana international is now ready for a bigger stage.
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He told the Athletic, "He's done well, but with all due respect to Bournemouth, it's natural for him to take the next step.
"Whether it turns into winter or summer is another question, but it makes no difference to us.
"I look forward to showing the world even more, what he is capable of."
With a £65m buyout clause in his contract, Semenyo is being linked with Tottenham, Manchester United and Liverpool ahead of the January market.