'To woo' someone in a romantic sense means to try to make someone love you or to try to have a romantic relationship with someone. 'He wooed her with flowers and candlelit dinners.' We can also use 'to court' in this way. 'To woo' in a business sense means to try to attract someone ( a customer, voter, worker) or to attempt to persuade someone to buy something from you, work for you, vote for you etc. 'The company must find creative ways to woo new customers.' You could use it for internal company communication but it's not really appropriate when addressing potential customers.

The idea of wooing is to gain someone's love in order to marry them. Of course, this would usually be done by the guys. The idea of "to woo the client" is figurative, so while it may be heard in marketing talk, it's not appropriate for a business letter. In general, if you're writing a formal business letter, avoid figurative expressions. "To interest the client" is more appropriate.

Something lyrics Songwriters: Harrison, George; Something in the way she moves Attracts me like no other lover Something in the way she woos me I don't want to leave her now You know I believe and how Yes, you would not say "woo" to a client but you would treat him like a real V.I.P.

Hi ... making the customer really interested by the item then...

"Woo the client" means "amaze the client" or "make the client interested."