Short answer:
No.
Explanation:
For reference, here is the text for both cards:
Flatter a Foe:
Foolish words:Flattery attempt. Playable on a character whose company is facing an attack of the type listed below. Character makes an influence check (modified by his usual direct influence and +2 if a diplomat). If successful, the attack is canceled and the hazard limit for the character's company is decreased by two. The influence check is successful if the result is greater than: 10 against a Dragon; 11 against Men or Drakes; 12 against Trolls, Orcs, Elves, and Giants.
In order to answer this question, one must remember that “influence check” and “influence attempt” are not synonyms. Furthermore, Flatter a Foe specifically has the keyword “flattery attempt,” and the character it is played on has to make an influence “check.” Foolish Words doesn’t affect flattery attempts or influence checks, and thus (despite the fact that it may seem counterintuitive in a thematic sense) Foolish Words doesn’t affect a character trying to Flatter a Foe.Playable on a character. Any riddling roll, offering attempt, or influence attempt by target character is modified by 4. If placed onguard, it may be revealed and played when a character in the company declares such an attempt. During his organization phase, the character may tap to attempt to remove this card by making a roll (drawing a #)if this result is greater than 7, discard this card. Cannot be duplicated on a given character.